Question

Which of the following sets of numbers could not represent the three sides of a right

triangle?
{36,48,60
{54, 72,90}
{30,40,50}
{40,41,58}

Answer 1

Explanation:

for a right-angled triangle Pythagoras must be true

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle) and always the longest of the 3 sides.

36² + 48² = 60² correct

54² + 72² = 90² correct

30² + 40² = 50² correct

40² + 41² is not 58²

so, this could not represent a right-angled triangle.