Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm

Answers

Answer 1

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Related Questions

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?

Answers

Answer:

37.7

Step-by-step explanation:

C = 2 pi r

C= πd

12× 22/7

= 264/7

= 37.71cm

six and twenty-three thousands in standard form

Answers

Answer:

6.023

i hope this helps :)

Eidoskaijsizjzkxkxdkjajjsjeksjsii

Answers

Answer:

Yes, Yes, No, Yes

Step-by-step explanation:

Please Help, and say where u got your answer from?

How does Washington’s request foreshadow a power shift within the American colonies?

Answers

Answer:

Having done everything in his power to secure American independence, Washington decided to retire “from all public employments” after the war. He found true peace back at Mount Vernon and was happy to “move gently down the stream of life until I sleep with my fathers.” Washington’s joyful retirement was interrupted in 1787 when his country called on him again.

Step-by-step explanation:

The cost, in dollars, for a group to attend a play is represented by 72p+ 250, where p is the number of

people attending. What is the cost for 36 people?

$286

$358

$2,342

$2,842

Answers

Answer:

Add 72+250 that will give u the answe

i hopStep-by-step explanation:

HElP ME PLEASE 20 POINTS!!!!!!!!!!!!!!!!!!

Answers

Answer:

28.26

Step-by-step explanation:

28.26 i thimkblbkblblbkb

Mike removed 56 marbles from his marble box and put them into 8 equal groups. How many marbles were in each group?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You divide 56, the total amount, by 8, the amount of piles.

56/8 = 7

Tell whether the sequence is arithmetic. If it is, identify the common difference.
3,6,12,24

Answers

Answer:

its is a geometric sequence not arithmetic

Can some one help me please

Answers

Answer:

Step-by-step explanation:

x+2+10 is 13 which is the beginning of the perimeter

I think it’s B I’m not for sure

Order from greatest to least
.03 .0 .32. 07 .7

Answers

Answer: .7, .32, .07, .03, .0

Step-by-step explanation:

Find one pair of prime numbers whose product is an even number.

Answers

Answer:

I think it's 1 and two for example 2 times 7 is 14

Step-by-step explanation:

Answer:

2 and 3.

Step-by-step explanation:

To get a product of an even number, you have to either multiply two even numbers together or multiply an even number and an odd number together.

There is only one even prime number- 2.

Therefore, you can have any pair of prime numbers that, when multiplied together, get an even number as long as one of those numbers is 2.

2 and 3 work, as well as 2 and 5. The list goes on and on. Just choose a random prime number (that's not 2) and pair it with 2. It is guaranteed that when you multiply those two numbers together, you will get an even number.

Julio has 4 red Hot-tires race cars, 7 blue Hot-tires race cars, and 5 green Hot-tires race cars. What is the ratio of blue race cars to red race cars?

A.4:7
B.7:4
C.7:5
D.4:5

Answers

The answer is B, there are seven blue and four red

QUICK HELP!!!!!!!!!!!!!!!!

Answers

Answer:

Its C im pretty sure. Also loveee your pfp!

3m + n = 71
2m - n = 30

Answers

Answer:

m = 20.2; n = 10.4

Step-by-step explanation:

[tex]\left \bigg \{ { \big {3m + n = 71} \atop \big {2m - n = 30}} \right.; => \left \bigg \{ { \big {3m + n -3m= 71-3m} \atop \big {2m - n-2m = 30-2m}} \right.; => \left \bigg \{ { \big { n = 71-3m} \atop \big { - n = 30-2m}} \right. ; => \\\\=> \left \bigg \{ { \big { n = 71-3m} \atop \big { - n \times (-1) = (30-2m)\times (-1)}} \right.; =>\left \bigg \{ { \big { n = 71-3m} \atop \big { n = -30+2m}} \right..[/tex]

-30 + 2m = 71 - 3m

-30 + 2m + 30 = 71 - 3m + 30

2m = 101 - 3m

2m + 3m = 101 - 3m + 3m

5m = 101

5m ÷ 5 = 101 ÷ 5

m = 20.2

n = 71 - 3m = 71 - 3 × 20.2 = 10.4

What’s 1.25 times 21

Answers

26.25. Easy stuff, man

True or False. The higher the interest rate, the larger the balance will be after a determined amount of time (than with a lower interest rate).

Answers

Answer:

True

Step-by-step explanation:

Principle = Interest * Time

So if time doesn't change, You'll get more money when Interest is higher!

In an arithmetic sequence, a3=15 and a8=0. What is the value of a5?

Answers

The value of a5 is 9

the first term of a sequence is 13 you take away 5 find out the 4th term

Answers

Answer:

a4 = -2

Step-by-step explanation:

a2 = 13 -5 = 8

a3 = 8 -5 = 3

a4 = 3 -5 = -2

NEED HELP!!! I’ll report if your putting random answers down

Answers

Answer:

First blank: 8

Second Blank: 16

Third Blank: 56

Step-by-step explanation: Hope I helped

8, 16, 56
7*8= 56
5*8 + 2*8
40+ 16
56

is this table linear or exponential what us the slope and what is the equation ?

Answers

Answer:

this table is exponential

Step-by-step explanation:

the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192

32,768/8,192 = 4

you can find a linear function by subtracting point 1 and point 2.

D= -200t + 9000 what is the answer to this question

Answers

Answer:

domain t = (-∞,∞)

range D = (-∞,∞)

Step-by-step explanation:

domain t = (-∞,∞)

range D = (-∞,∞)

P(2, -3), y = -6x + 10

Answers

Answer:

heffe nedda polla di cepta

Step-by-step explanation:

a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

Answers

Problem:

a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

Solution:

[tex]42.50 + 42.50 \times 16\%[/tex]

[tex] = 42.50 + 42.50 \times 0.16[/tex]

[tex] = 42.50 + 6.8[/tex]

[tex] = 49.3[/tex]

Answer:

$49.30 is paid altogether

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

Rewrite the expression as the sum of two numbers 7(2+5)

Answers

answer:

its 7 x 7 or 49

explanation:

First you used distribute property
7(2+5) bring 7 into the parentheses
14+35 Then you just add
49 that’s the sum

1) A store sold 350 bikes last year. This year, the store sold 272 bikes, what is the percent change in the
number of bikes sold last year to this year?
Answer: The percent change is?

Answers

Answer:

-22.3% or 22.3% less than the previous year

Step-by-step explanation:

350 - 272 = 78

78/350 = 22.3 to 3 significant figures

estimate the quotients 123.8 ÷ 62

Answers

>> answer-1.99677419355. Estimate>> 124÷ 62 = 1 not sure

Please MY LAST 15 POINTS! What is the x-coordinate of point B? Write a decimal coordinate.

On a coordinate plane, point B is 1.5 units to the left and 3.5 units up.

Answers

Answer:

-1.5

Step-by-step explanation:

i hope this helps

need help 8y+3y+9x+4y-5x

Answers

Answer:

4x+15y

Step-by-step explanation:

If you want it simplified

what’s 100/12 as a mixed number

Answers

Answer: 8 1/3

Step-by-step explanation:

100/12 = 8.33333333

8 4/12

8 1/3

CAN SOMEONE PLEASE PLEASE PLEASEEEE ANSWER MY LAST QUESTION AND IF YOU CANT PLEASE DONT ANSWER

Answers

Answer:

I will try! :D

Step-by-step explanation:

Answer:

Ill look rn

Step-by-step explanation:

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