Can y'all helps me? It's converse of the pythagorean theorem btw. but pls help its overdue rn and i need it to be turned in.pls? i attatched the triange to figure it out...thx 2.2.4

Practice:

The Converse of the Pythagorean Theorem

Practice

Mathematics Grade 8

Points Possible:

5

Name:

Andrew Smith

Date:

Tips for Success

Read the assignment carefully and make sure you answer each part of the question or questions.

Check your work when you're done.

Your Assignment

Use the converse of the Pythagorean theorem to decide whether ΔABC is a right triangle by answering the questions.

1. Use the Pythagorean theorem to find AD. Show your work.

Write your answer in the space below.

2. Find AC. Show your work.

Write your answer in the space below.

3. Is ΔABC a right triangle? Explain.

Write your answer in the space below.

Step-by-step explanation:

1) AD(base)=?

Hypo^2 = a^2 + b^2

therefore, b^2 = Hypo^2 - a^2

=> AD^2 = AB^2 - BD^2

=> AD^2 = 15^2 - 12^2

=> AD^2 = 225 - 144

=> AD = √81

=> AD = 9

2) AC(Hypotenuse) =?

AC^2 = BC^2 + AB^2

AC^2 = 20^2 + 15^2

AC^2 = 400 + 225

AC = √625

AC = 25

or

AC = AD + DC

AC= 9 + 16

AC = 25

3)yes, triangle ABC is a right triangle because there is one 90° and two 45° angles. And furthermore since we can use pythagorean theorem (which only works for right triangle) for this triangle, we can conclude that it is a right triangle.

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .