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

The third statement is true because it fulfills the Pythagorean theorem

Step-by-step explanation:

The sides of a right angled triangle will satisfy the Pythagorean theorem which is  

where A and B are the sides of the Triangle named the opposite and adjacent sides to the right angle.

while C is the hypotenuse ( the longest side of a right angled triangle )

from the first statement:

14^2 + 24^2 = 26^2

196 + 576 = 676

       772 ≠ 676 ( wrong statement )

from the second statement

30^ + 72^2 = 78^2

900 + 5184 = 6084

6084 = 6084 ( wrong statement )

from the third statement

14^2 +24^2 = 26^2

196 + 576 ≠676

and

30^2 + 72^2 = 78^2

6084 = 6084         ( correct statement )

the correct is answer is a 9-sided polygon!