Question

Find the value of b for the triangle using the Pythagorean Theorem.

Answer 1

Explanation:

Hey there!

Given;

The given figure is a Right angled triangle, taking reference angle as angle B.

Hypotenuse= AB=5

Base= CB= 4

Perpendicular= AC=b

Using Pythagorean theorem.

`{h}^(2) = {p}^(2) + {b}^(2)`

`p = \sqrt{ {h}^(2) - {b}^(2) }`

Put all values.

`b = \sqrt{ {5}^(2) - {4}^(2) }`

`b = √(25 - 16)`

`b = √(9)`

Therefore, the value of b is 3.

Hope it helps...