Question

Which of the following sets of numbers could represent the three sides of a right

triangle?
{44, 60, 75}
{30, 73, 78}
{37, 77,85}
{39, 52, 65}

Answer 1

"{39, 52, 65}"

Explanation:

Whenever there is a right-triangle, we can use the Pythagorean Theorem to find this answer

Pythagorean Theorem tell us that:

Leg^2 + Another Leg^2 = Hypotenuse^2

Note: Hypotenuse is the longest side

So, for each set, we can check if the Pythagorean Theorem holds.

{44, 60, 75}

75^2 = 5625

and

44^2 + 60^2 = 5536

This is not correct.

{30, 73, 78}

78^2 = 6084

30^2 + 73^2 = 6229

This is not correct as well.

{37, 77,85}

85^2 = 7225

37^2 + 77^2 = 7298

This isn't correct.

{39, 52, 65}

65^2 = 4225

and

39^2 + 52^2 = 4225

Here, pythagorean theorem holds, so this is the correct set.