# How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle assuming that the largest is the hypotenuse: 72, 17, 19?

##### 1 Answer

Apr 3, 2016

If you arrange the length of the sides in non-decreasing order, such as

#c^2 = a^2 + b^2#

is true.

For this case

#a = 17# #b = 19# #c = 72#

Plugging in, the left hand side gives

#c^2 = 72^2#

#= 5184#

The right hand side gives

#a^2 + b^2 = 17^2 + 19^2#

#= 289 + 361#

#= 650 != 5184#

Since the equality does not hold, there is no right-angle triangle with sides measuring 17, 19 and 72.