Question

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if b c=9, a=7?

Answer 1

square root of 32

Explanation:

in a right triangle we can use Pythagorean theorem to find B

`C^(2) =A^(2)+B^(2) \\\\ 9^(2)=7^(2)+B^(2) \\81=49+B^(2) \\81-49=B^(2) 32=B^(2)\\ B=√(32)`we substitute C for 9 and A for 7