# A square is inscribed within a right triangle of base and height in su

| A square is inscribed within a right triangle of base and height in such a way that, one of the angles of square coincide with right angle of triangle and opposite vertex lie on the hypotenuse. Find the length of diagonal of square?

A.

B.

C.

D.

### Right Answer is: C

#### SOLUTION

and . Let side of square

are similar to each other.

, and

Diagonal of square

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A square is inscribed within a right triangle of base and height in su