Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements.

Question

The lengths 14, 24 and 26 can be sides of a right triangle.  The lengths 30, 72, and 78 can be sides of a right triangle.  . 

 

The lengths 14, 24 and 26 can not be sides of a right triangle.  The lengths 30, 72, and 78 can not be sides of a right triangle.

 

The lengths 14, 24 and 26 can not be sides of a right triangle.  The lengths 30, 72, and 78 can be sides of a right triangle. 

 

The lengths 14, 24 and 26 can be sides of a right triangle.  The lengths 30, 72, and 78 can not be sides of a right triangle.  

Answer 1

In each case, apply the Pythagorean theorem, which is a squared plus b squared = c squared. (C is the longest of the 3 sides.)

 

If the squares add up correctly, it's a right triangle. If not, it's a, uh, "wrong triangle." (Ok, that last part's not true!)