How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle: 8, 15, 17?

1 Answer
Jun 10, 2016

Answer:

Yes, #8#, #15# and #17# could be the measures of the sides of a right angled triangle.

Explanation:

If the triangle with sides #8#, #15# and #17# is a right angled triangle, #17# the largest side must be hypotenuse.

According to Pythagoras theorem, in a right angled triangle, the square of hypotenuse is equal to the sum of squares of other two sides. Let us check it.

#17^2=289# and #8^2+15^2=64+225=289#

Therefore #17^2=8^2+15^2#.

Hence, #8#, #15# and #17# could be the measures of the sides of a right angled triangle.