Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b=9 inches and c=10 inches, what is the perimeter? If necessary, round to the nearest tenth.

Please help!!!

Answer 1

19 +
`√(19)`

Explanation:

So we have a right triangle right?

We use the Pythag. Theorem:

a^2 + 9^2 = 10^2

a^2 + 81 = 100

a^2 = 19

a =
`√(19)`

a + b + c = perimeter

`√(9) + 9 + 10` = 19 +
`√(19)`