The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pythagorean triple. Find the length of the third side, and tell whether it is a leg or a hypotenuse.

24, 51
A.
21 leg
B.
45 leg
C.
48 leg
D.
56 hypotenuse

Question

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pythagorean triple. Find the length of the third side, and tell whether it is a leg or a hypotenuse. 

24, 51
A.
21  leg
B.
45  leg
C.
48  leg
D.
56  hypotenuse

ranga · Answer

a^2 + b^2 = c^2
Try a = 24, b = 51 and find out if c will be an integer.
If not, try a = 24, c = 51 and find out if b will be an integer.