Question

Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4 in

Answer 1

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

`Hypotenuse^2=Perpendicular^2+Base^2`

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

`Hypotenuse^2=8^2+12^2`

`Hypotenuse^2=64+144`

`Hypotenuse^2=208`

Taking square root on both sides, we get

`Hypotenuse=√(208)`

`Hypotenuse=14.422205`

`Hypotenuse\approx 14.4`

The length of the missing side is 14.4 inches. Therefore, the correct option is D.