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.

Question

asked Nov 25, 2019 44.5k views

2 Answers

Khaled Nassar · Answer 1 · 2019-12-02T05:37:53+0000

Answer:

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