Your friend claims that a triangle with side lengths of a, b, and c will have half the area of a triangle with side lengths of 2a, 2b, and 2c. Is your friend correct?

Answers

Answer 1

Answer:

My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c

Step-by-step explanation:

Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.

So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]

= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]

= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.

So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]

= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]

= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4

So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.


Related Questions

hey, i wanna ask you an interesting question if you know the answer give it in comments okay !!

the question is :

what is the HCF / GCD
of 0 (zero) and 5

let me know the answer ..​

Answers

Answer:

it will 5 because 0 has all factor other than 0 and 5 has two factor 1 and 5 So hcf of 0 and 5 will 5

Select the correct answer.
The loudest animal on Earth is the blue whale. Blue whales can emit sound with an intensity of 106.8 watts/meter2. The equation
log
by the human ear, Io (approximately 1 x 10-12 watts/meter).
Based on this information, which value is closest to the sound level, in decibels, of the vocalizations of a blue whale?
A.
140 dB
B.
100 dB
C. 240 dB
D. 1,000 dB

Answers

Answer:

140 db

Step-by-step explanation:

I have succesfully finished tihs

The value is closest to the sound level of the vocalizations of a blue whale is 140dB.

We have given that,

Intensity(I)= 106.8 watts/meter^2

The intensity of sound hair by the human ear is,

[tex]I_0=1\times10^{-12}[/tex]

What is the meaning of the sound intensity?

Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

We have to find which value is closest to the sound level, in decibels, of the vocalizations of a blue whale

So we have given the formula

[tex]B=10 log(\frac{I}{I_0} )[/tex]

So use the given value we get

[tex]B=10 log(\frac{106.8}{1\times 10^{-12}} )[/tex]

B= 140.28 dB≈140 dB

Therefore the value is closest to the sound level of the vocalizations of a blue whale is 140dB.

To learn more about the intensity visit:

https://brainly.com/question/25379849

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

Answer:

C≈31.42

Step-by-step explanation:

Radius=5 (10 divided by 2)

C=2πr

Brainly plss

Please help! If you have any questions please just ask

Answers

Genius can answer this okay don't worry

The regular price of a skateboard is p. Which expression represents the price of the skateboard when it is on sale for 25% off? Select all that apply.

Answers

Answer:   The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Given: Regular price of a skateboard is p.

Discount = 25% off = 0.25p

Now, the  price of the skateboard when it is on sale for 25% off = p - Discount

= p -0.25p

= (1-0.25)p

= 0.75p

Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

the image above is a _______?

a. rectangle
b. square and parallelogram
c. square
d. square and rectangle
e. parallelogram
f. square, rectangle and parallelogram

Answers

Answer:

F

Step-by-step explanation:

This is a square if you think about it, but it has the abilities of a rectangle and parallelogram. So it is F.

C . This is a square because if you look at the shape all it is is turned around at a different angle and that does not change the shape

G
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches
What are the dimensions of the original picture?
x
O 3 inches by 5 inches
O 3 inches by 15 inches
O 6 inches by 12 inches
O 27 inches by 45 inches

Answers

Answer:

3 inches by 5 inches

Step-by-step explanation:

You have to divide the numbers 9 and 15 by 3

9÷3=3

15÷3=5

So that means it is 3 inches by 5 inches

Answer:

3 inches by 5 inches

Step-by-step explanation:

You have to divide the numbers 9 and 15 by 3

9÷3=3

15÷3=5

So that means it is 3 inches by 5 inches

Jacob drives 8km in 12 minutes. What is his average speed (km/h) ?

Answers

Answer:

40 km/h

Step-by-step explanation:

PLz mark brainliest

16km:24mins

24km:36mins

32km:48mins

40km:60mins

Answer:

Step-by-step explanation:

8km per 12 min would be 40km/hr :)

Mr. Edwards purchased 3 bags of potatoes. He bought 36 potatoes in all. Each bag contains the same number of potatoes. How many potatoes are in each bag?

Answers

Answer:

12

Step-by-step explanation:

36 divided by 3 = 12

Hope This Helps

Answer:

39 or 12

Step-by-step explanation:

i got 39 by 36+3=39

i got 12 by 3 divided by 36= 12

Point R is located on segment QS. If QR = 10 and RS = 7, what is the measure of QS?

Answers

Answer:

QS = 17 units

Step-by-step explanation:

Given:

R located at QS

QR = 10

RS = 7

Find:

Measure of QS

Computation:

QS = QR + RS

QS = 10 + 7

QS = 17 units

X - 5 = -11

Solve the value of x.

Answers

X=-6 that should be the correct answer

Sarah and her 4 Friends share some cookies. If each person gets 3 cookies, how many cookies were shared? Write a mathematical equation that represents this situation

PLS HELP ASAPPP I WILL BE MARKING BRAINLIEST AFTER TWO ANSWERS

Answers

Answer:

The answer is the 2nd one im pretty sure

Step-by-step explanation:

hi, its C = 3
          5
       

Step-by-step explanation:

Estimate 84x5 and product 84x5

Answers

Answer: 420

Step-by-step explanation:

Round 154.98 to the nearest 10th

Answers

154.98 rounding off is 155. But to the nearest tenth is 150

Answer: 155

Step-by-step explanation:

To round 154.98 to the nearest tenth, remember that in the hundredths place is 8 and is more than 5. Therefore, the tenths value of 154.98 increases by 1 to 0.

plz helps so i can pass

Answers

Answer:

C

Step-by-step explanation:

did it on edge

4x + 5y = -10
4x + 3y = -22
Solve by using the method of elimination

Answers

Answer: X = -10
Y = 6
Step by step:
*is in picture*

Answer:

y=6. &. x = -10

Step-by-step explanation:

if 4x + 5y = -10

then 4x = -10 -5y. ---------->(1)

if 4x + 3y = -22

then 4x = -22 -3y. ------------>(2)

from equation (1) & (2) :

then -10 -5y = -22 -3y

then 22 -10 = 5y -3y

12 = 2y

then y=6

substituting in (1) or (2):

then. x= -10

HEELP ASAP

1. Evaluate the following algebraic expression: 8h ÷ 12 when h=3

Answers

Step-by-step explanation:

3h ÷ 12

= but this is wt I know❤️

Answer:

8 (3) /12 = 24/12, 24/12= 2

A rectangular prism has a length of 7 inches and a width of 5 inches. The lateral area is 192 square inches. What is the height of the prism?

Answers

Answer:

I think it would be 5.49 as the height of the prism.

Step-by-step explanation:

I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!

Ari I was going to do it by somebody already answered

where do you find the answers at

Answers

Answer:

Step-by-step explanation:

I find the answer at the search bar :)

Search bar was this a trick question lol

Need help plsssss !!!!

Answers

Answer: The answer is C

10. A bag of cat food contains 4
pounds. Each serving is 4 of a cup.
How many servings are in the bag?

Answers

Answer:

16

Step-by-step explanation:

each pound has 3.6 cups

1/4 of a pound can be multiplied

3.6 x 1/4 =  0.9

then we subtract 4 - 3.6 = 0.4 say if the question was for one pound

But we have to find  14.4 cups instead as;

3.6 x 4 = 14.4 = 4 pounds

We go back to 0.9 are first smaller serving = 1/4 cup

14.4/0.9 = 16

Plot the point (-3,6). Plot the point (4, -5).

Answers

Step-by-step explanation:

Go left 3 and then up 6 then make a dot

Go right 4 thend own 5 then make a dot

I hope this helps

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

B) 3 1/3

Step-by-step explanation:

To divide the fractions, simply follow these steps.

First, flip the second fraction, so that the numerator is the denominator, and the denominator is the numerator. Change the division sign into a multiplication:

(2/3)/(1/5) = (2/3) * (5/1)

Next, multiply straight across:

(2/3) * (5/1) = (2 * 5)/(3 * 1) = 10/3

Finally, simplify. Change the improper fraction into a mixed:

10/3 = 3/3 + 3/3 + 3/3 + 1/3 =  3 1/3

B) 3 1/3 is your answer.

~

Answer:

I got 3 1/3

Step-by-step explanation:

Also to divide fractions do.  Keep Change and Flip

Keep the first fraction, flip the divide sign to the multiply sign.  Then flip the other fraction.  Then multiply

Distribute -5(m-2)

Help

Answers

Answer:

(-5*m)-(-5*2)

Step-by-step explanation:

Here, we want to use the distributivity property to evaluate the expression

We have this as;

(-5*m)-(-5*2)

Find 80% of 14,236.
Enter the correct answer in the box.

Answers

Answer:

11388.8

Step-by-step explanation:

Answer:

11,388.8

Step-by-step explanation:

if 14,236 = 100℅

X. = 80℅

14,236*80℅ divided by 100℅

X= 11,388.8

Order the following numbers from least to greatest.
Put the least value on the left.

Answers

Answer:

-5/2, -2, 1.7

Step-by-step explanation:

Answer: -5/2, -2, 1.7


Explanation

If f(x)=|x+2|+1 what is f(-5)?

Answers

Answer:

-5f

Step-by-step explanation:

P L S H E L P W I LL S C A M I F YO U S T EA L M Y P O I N T S

Answers

Answer:

B for sure

Step-by-step explanation:

The amount of energy used decreases by a different amount each year.

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the table,

Amount of energy used.

First-year: 1,000,000

Second-year: 900,000

Third year: 810,000

Fourth-year: 792,000

The difference between the amount of energy between consecutive years.

1,000,000 - 900,000 = 100,000

900,000 - 810,000 = 90,000

810,000 - 792,000 = 18,000

We see that,

There is a different amount of energy decreasing each year.

Thus,

The amount of energy used decreases by a different amount each year.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Triangle abc gets translated and reflected prove its congruent to a"b'c"


A. AA postulate

B. HL Postulate

C.ASA throem

D.SSA Theroem

Answers

Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

Find the value of x. Round to the nearest tenth.

Answers

Answer:

14.86854, or 15

Step-by-step explanation:

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