Question

How do you use the Pythagorean Theorem to determine if the three sides are a right triangle: 10 cm, 49.5 cm, 50.5 cm?

Answer 1

Consider that Pythagoras’s Theorem tells you that the square of the hypotenuse (the longer side) is equal to the sum of the squares of the other two.
In your case the hypotenuse should be 50.5 cm, so you get:
`(50.5)^2=(10)^2+(49.5)^2`
`2550.25= 100+2450.25=2550.25`
Yep it is a right triangle!