Question

Use the Pythagorean theory to find the value of y. Express your answer in simplest radical form

Answer 1

Given,

The measure of the perpendicular is,

p = 6.

The measure of hypotenuse is,

`h=\sqrt[]{85}`

The expression of the Pythagorean theorem is,

`\text{hypotenuse}^2=base^2+perpendicular^2`

Substituting the measure then,

`\begin{gathered} (√(85))^2=(b)^2+(6)^2 \\ 85=(b)^2+36 \\ b^2=85-36 \\ b^2=49 \\ b=\sqrt[]{49} \\ b=7 \end{gathered}`

Hence, the measure of