## anonymous one year ago Given rectangle PQRS with segment PQ is congruent to segment QR, segment PQ is congruent to segment SP and SQ= 6 square root 2 find SR. A. Square root of 2 B.6 C. 6 square root 2 D. Not enough info Will reward medal.

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1. mathstudent55

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2. mathstudent55

If a rectangle has two congruent adjacent sides, then the rectangle is a square.

3. mathstudent55

This means PQRS is a square. Each triangle is a 45-45-90 triangle. What is the ratio of the lengths of the sides of a 45-45-90 triangle?

4. mathstudent55

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5. anonymous

Okay this is timed can you give me the answer

6. mathstudent55

A 45-45-90 has two congruent legs. The hypotenuse is $$\sqrt 2$$ times the length of the legs. That means the legs are $$\sqrt 2$$ times shorter than the hypotenuse.

7. anonymous

Thank you so much!

8. mathstudent55

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