Question

A right triangle has a leg of 3 feet and a hypotenuse of 4 feet. What is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

It would be 2.6 because you would subtract 16 by 9 and then square root it

Answer 2

The length of other leg is 2.6 feet

Explanation:

Given a right triangle has a leg of 3 feet and a hypotenuse of 4 feet.

we have to find the length of the other leg.

As given a right angled triangle

∴ By Pythagoras theorem

`(Hypotenuse)^2=(Base)^2+(Height)^2`

`4^2=3^2+(other \thinspace leg)^2`

`16=9+(other \thinspace leg)^2`

`(other \thinspace leg)^2=7`

`Other\thinspace leg=\sqrt7=2.6457..\sim 2.6`

The length of other leg is 2.6 feet