- #1

Mathmaniac123

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## Homework Statement

What is the area of a right triangle whose inscribed circle has radius 3 and whose circumscribed circle has a radius 8?

## Homework Equations

The diameter must be the hypotenuse of the circle

## The Attempt at a Solution

The answer is 57, but I do not know the steps to achieve it.

I tried making the triangle a 45° 45° 90°, but the area comes out to be 64.(since the incircle has a radius of 3, the triangle would not work)

I tried a 30° 60° 90° triangle, but the area comes out to be 55. The answer is closer, so that means the the angles are a little bit closer together.

Since the answer is 57, the base x height would be 114. The closest factors would be 6x19, but 19 is larger than the hypotenuse, which makes me think that either the answer is wrong, or the b, and/or h are decimals or fractions.

Good Luck