# If a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3, how do you find the area?

Jun 16, 2015

Find area of right triangle

#### Explanation:

The hypotenuse = 2R = 6
Since the side ratio is 3: 4: 5, the new ratio of the actual sides is:
3.6: 4.8: 6.
The 2 legs of the right triangle are: 3.6 and 4.8

The area is: $s = \frac{3.6 \left(4.8\right)}{2} = 8.64$