Question

What is the length of the unknown leg in the right triangle

Answer 1

Given:

The figure of a right angle triangle, we hypotenuse
`√(113)` mi and perpendicular 9 mi.

To find:

The length of the unknown leg in the right triangle.

Solution:

According to the Pythagoras theorem,

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

Using Pythagoras theorem, we get

`(√(113))^2=(9)^2+a^2`

`113=81+a^2`

`113-81=a^2`

`32=a^2`

Taking square root on both sides.

`√(32)=a`

It is only positive because the side length cannot be negative.

The length of the unknown leg in the right triangle is
`√(32)` mi.

Therefore, the correct option is B.