Question

What is the surd of these two right angled triangles

Answer 1

Below in bold.

Explanation:

The first one a^2 = 6^2 + 11^2 ( By the Pythagoras Theorem)

a^2 = 157

a = √157.

The second triangle:

b^2 = 11^2 - 6^2

b^2 = 85

b = √85.

Answer 2

a = √157

b = √85

First Question

To find a we Pythagoras theorem

That's

`{a}^(2) = {6}^(2) + {11}^(2) \\ {a}^(2) = 36 + 121 \\ \\ {a}^(2) = 157 \\ \\ a = √(157) \\`

Second question

`{11}^(2) = {b}^(2) + {6}^(2) \\ \\ {b}^(2) = 121 - 36 \\ \\ {b}^(2) = 85 \\ \\ \\ b = √(85)`

Hope this helps you