Question

Please help!!
Find A

Answer 1

(5/2)√13 ≈ 9.0139

Explanation:

The longer hypotenuse is found using the Pythagorean theorem as ...

`√(8^2+12^2)=√(208)=4√(13)`

The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.

`A=(5)/(8)\cdot 4√(13)= (5√(13))/(2)`