Question

What is the length of side AB if AC = 12 cm and BC = 16 cm? Enter your numeric answer. Do not include units.

Answer 1

`color(indigo)(bar(AC) = 20`

Explanation:

Given triangle is a right triangle.

Hence `(AB)^2 = ((AC)^2 + (BC)^2`

`(AC)^2 = (12^2 + 16^2)`

`(AC)^2 = 4^2 * (3^2 + 4^2) = 4^2 * 5^2`

`bar(AC) = sqrt(4^2 * 5^2) = 20`