Seth is using the figure shown below to prove the Pythagorean theorem using triangle similarity. In the given triangles PQR, angle P is 90° and segment PS is perpendicular to segment QR.

Part A: Identify a pair of similar triangles.

Part B: Explain how you know the triangles from Part A are similar.

Part C: If RS= 4 and RQ= 16, find the length of segment RP. Show your work

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

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step-by-step explanation:

the answer to question 1 is -8, 28.

step-by-step explanation:

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.