Question

Find the missing side of the triangle and leave the answer in simplest radical form.

Answer 1

x = √5.

Explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.

Answer 2

x =
`\sqrt5`

Explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

`(√(11))^2 = x^2 + (√(6))^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5`