# If the two legs of a right triangle are 5 and 4, what is the length of the hypotenuse?

Feb 16, 2016

sqrt41 ≈ 6.4

#### Explanation:

Pythagoras' Theorem states' the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the other 2 sides'

If the hypotenuse is h , and the other 2 sides a and b , then

${h}^{2} = {a}^{2} + {b}^{2}$

here a = 5 and b = 4

hence ${h}^{2} = {5}^{2} + {4}^{2} = 25 + 16 = 41$

now  h^2 = 41 rArr h =sqrt41 ≈ 6.4