Question

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

Answer 1

Answer:

$\text{Length of hypotenuse is }\sqrt{41}units$

Step-by-step 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

$Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=\sqrt{41}units=6.4units$

Hence, $\text{length of hypotenuse is }\sqrt{41}units$