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

Answer:

11

Step-by-step explanation:

$c=\sqrt{a^{2} + b^{2} } \\14 = \sqrt{9^{2}+ b^{2} } \\14 = \sqrt{81 + b^{2} } \\14^{2} = 81+b^{2} \\196 = 81 + b^{2} \\81 + b^{2} = 196\\b^{2} = 196-81\\b^{2} = 115\\b = \sqrt{115} \\b = 10.72\\b = 11$