A triangle has side lengths of 7 in, 10 in, and 11 in. Is it a right triangle?

Question

A triangle has side lengths of 7 in, 10 in, and 11 in. Is it a right triangle?

Answer 1

Hello, Kayla,

 

If it is a right triangle, you should be able to square its sides, add them together and get the same answer when the third side is squared.                                 short side² + short side ²= longest side ²

 

Here is one of my examples:   A triangle has the following side lengths of 3 in, 4 in, and 5 in.  Is it a right triangle?

3²+4²=5²       3*3 + 4*4= 5*5                  9+ 16=25                      25=25, so right triangle

 

2nd example:    A triangle has the following side lengths of 5 in , 12 in, and 14 in.  Is it a right triangle?

5² + 12²= 14 ²         25 + 144=196              169≠196  so this this triangle is not right.     

 

Now, just do the same thing with your problem.  Susan C.

Answer 2

11^2=?=10^2+7^2

121=?=100+49

121≠149

no, it is not a right triangle