Question

If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.

The hypotenuse is c = ?
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

`c=2√(89)`

Explanation:

Pythagorean theorem is:

`c^(2) =a^(2) +b^(2)`

`c^(2)=10^(2)+16^(2) \\c^(2) =100+256\\c^(2)=356\\c=√(356) \\c=2√(89)`