Given Measures, determine if they are sides of right triangl

[rubyred]

Determine if the given measures are measures of the sides of a right triangle.
6. 10,26,24
7.12,27,19
8.39,80,89
I don't know how to solve please explain to me how to solve and give me an example thanks

 

[Mrspi]

Re: Given Measures plz help!!

Determine if the given measures are measures of the sides of a right triangle.
6. 10,26,24
7.12,27,19
8.39,80,89
I don't know how to solve please explain to me how to solve and give me an example thanks

The Pythagorean Theorem tells us that, in a right triangle,

leg[sup:bg62fg03]2[/sup:bg62fg03] + leg[sup:bg62fg03]2[/sup:bg62fg03] = hypotenuse[sup:bg62fg03]2[/sup:bg62fg03]

The CONVERSE of the Pythagorean Theorem says that if the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side, then the triangle is a right triangle.

Suppose you want to know if a triangle with sides 5, 13, and 12 is a right triangle.

The two shorter sides are 5 and 12. Square each of those lengths: 5[sup:bg62fg03]2[/sup:bg62fg03] = 25, and 12[sup:bg62fg03]2[/sup:bg62fg03] = 144. Add those two squares together: 25 + 144 = 169. Is this the same as the square of the longest side? Well, 13[sup:bg62fg03]2[/sup:bg62fg03] = 169, and 25 + 144 = 169. That means a triangle with side lengths of 5, 13, and 12 IS a right triangle.

Try this on each of your problems.