The given length of two sides of a right triangle or three side lengths of a triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it is a leg or hypotenuse. 96 and 100

Therefore, the length of third side is 28 and it is a leg.

Step-by-step explanation:

Given that,

The length of two sides of a right angle triangle are 96 and 100.

Three sides of a right angle triangle form Pythagorean triplet.

Now,

The square of 96 is 9216, and the square of 100 is 10000.

∵ and

⇒

since, square root of 784 is 28.

According to pythagorean theorem,  it states that sum of the square of base and square of perpendicular is equal to square of hypotenuse.

Here,

⇒

⇒

⇒

∴ The length of base (leg) is .

Therefore, the length of third side is 28 and it is a leg.