What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 6?
1 Answer
Explanation:
Pythagoras' Theorem states for a right triangle 'the square on
the hypotenuse is equal to the sum of the squares on the other
2 sides'
If h = hypotenuse and a , b represent the other 2 sides :
then :
# h^2 = a^ 2+ b^2# For this question let a = 5 and b = 6
hence
# h^2 = 5^2 + 6^2 = 25 + 36 = 61# so
# h = sqrt61 ≈ 7.8#