Question

For the following right triangle, find the length x. Round your answer to the nearest hundredth.

Answer 1

Given the triangle with two sides given, we are asked to find the unknown side which is x.

Using pythagoras theorem:

recall that:

a² + b² = c²

a² = c² - b²

So, let:

b = 10

c = 14

a = x

x² = 14² - 10²

x = √(14)² - (10)²

x = √196 - 100

x = √96

x = 9.79