Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
For the right triangle shown, the lengths of two sides are glven. Find the third side. Leave your answer in simplified,
radical form.
B.
с
a
b
b = 9, C = 16
415
6 8
910
lab

Answer 1

a = 5√7

Explanation:

Sides of a right triangle follow the Pythagoras theorem,

By Pythagoras theorem,

(AB)² = (BC)² + (AC)²

c² = a² + b²

If b = 9 and c = 16,

(16)² = a² + 9²

256 = a² + 81

a² = 256 - 81

a = √175

a = 5√7

Therefore, measure of third side a = 5√7