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The given triangle is a right triangle with an altitude to the hypotenuse.
â–³ PRQ ~ â–³ PQS ~ â–³ SQR
We want to write a similarity statement relating the three triangles in the given diagram. To do so we can use the Right Triangle Altitude Theorem.
As we can see, △ PRQ is a right triangle, ∠PQR is a right angle, and SQ is the altitude to the hypotenuse. Having verified the necessary conditions, we can write the similarity statement. △ PRQ ~ △ PQS △ PRQ ~ △ SQR △ PQS ~ △ SQR
