(50 points! )
the lengths of three sides of a triangle are given. determine whether each triangle is a right triangle.

12, 9, 4

7, 24, 25

16, 32, 30

(explain your answer)

no, yes, no

Step-by-step explanation:

If a triangle is a right triangle, it satisfies Pythagorean theorem:

c² = a² + b²

where c is the hypotenuse (longest side) and a and b are the legs.

12² = 4² + 9²

144 = 16 + 81

144 = 97

Not a right triangle.

25² = 7² + 24²

625 = 49 + 576

625 = 625

This is a right triangle.

32² = 16² + 30²

1024 = 256 + 900

1024 = 1156

Not a right triangle.

what is the answer to this