Question

Can somebody please help me with this?

Answer 1

`√(85)\ units`

Explanation:

The figure shows the right triangle with two legs a and b and hypotenuse c.

By the Pythagorean theorem,

`\text{Hypotenuse}^2=\text{Leg}_1^2+\text{Leg}_2^2`

So,

`c^2=a^2+b^2\\ \\11^2=6^2+b^2\\ \\121=36+b^2\\ \\b^2=121-36\\ \\b^2=85\\ \\b=√(85)\ units`