The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Question

asked Sep 14, 2017 85.1k views

2 Answers

Burim · Answer 1 · 2017-09-19T20:00:05+0000

Answer:

$\text{Length of hypotenuse is }√(41)units$

Explanation:

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

By Pythagoras theorem,

In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

$Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=√(41)units=6.4units$

Hence,
$\text{length of hypotenuse is }√(41)units$