Question

Determine the missing length of the right triangle below using the Pythagorean Theorem (a²+b²=c²). Round to the nearest whole number.

Answer 1

10.723...

But rounded up would be 11

Answer 2

11

Explanation:

`c=\sqrt{a^(2) + b^(2) } \\14 = \sqrt{9^(2)+ b^(2) } \\14 = \sqrt{81 + b^(2) } \\14^(2) = 81+b^(2) \\196 = 81 + b^(2) \\81 + b^(2) = 196\\b^(2) = 196-81\\b^(2) = 115\\b = √(115) \\b = 10.72\\b = 11`