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which triangle is similar to triangle pqr using the pieces of right triangles similarity theorem?

triangle srp has measure of angle srp equal to 90 degrees. q is a point on the hypotenuse sp such that the segment qr is perpendicular to ps. t is a point outside the triangle on the left of s so that triangle qts has the measure of angle qts equal to 90 degrees.

triangle rqs
triangle tsq
triangle qst
triangle srq

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vijayhalder031 vijayhalder031 · Answer 1 · 2022-07-24T08:07:45+02:00

Triangle QST is similar to triangle PQR

We are given that measure of angle SRP is 90°

Q is the point of the hypotenuse SP

Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s

We need to find which triangle is similar to triangle PQR

So,

Using Angle - Angle - Angle Criterion We can say that

m∠PQR = m∠SQR (AAA similarity)

m∠SQR=m∠SQT (AAA similarity)

Where m∠Q =90° in ΔQST and PQR

Therefore ΔQST is similar to ΔPQR

Learn more about similarity of triangles here

https://brainly.com/question/24184322

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