Question

Find the missing length
. Leave your answers in simplest radical form

Answer 1

Use the Pythagorean theorem:

`x^2+8^2=16^2\\\\x^2+64=256\qquad\text{subtract 64 from both sides}\\\\x^2=192\to x=√(192)\\\\x=√(64\cdot3)\\\\x=√(64)\cdot\sqrt3\\\\\boxed{8\sqrt3}`