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

Question

asked Feb 14, 2023 184k views

1 Answer

Mownier · Answer 1 · 2023-02-19T06:01:02+0000

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