Which of the following sets of numbers could represent the three sides of a right triangle?(check image)answer quick

{33, 56, 65}

Step-by-step explanation:

Since, Hypotenuse of a right triangle is the longest side of the right triangle,

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Therefore, to prove the numbers representing the sides of a right triangle we will prove,

(largest number)² = (number 1)² + (number 2)²

Option (1)

{17, 30, 34}

34² = 17² + 30²

1156 = 289 + 900

1156 = 1189

But it's not true.

Therefore, these numbers doesn't represent the sides of a right triangle.

Option (2)

{11, 59, 61}

61² = 11² + 59²

3721 = 121 + 3481

3721 = 3602

Not true.

Therefore, these numbers doesn't represent the sides of a right triangle.

Option (3)

{33, 56, 65}

65² = 56² + 33²

4225 = 3136 + 1089

4225 = 4225

True

Therefore, these numbers represents the sides of a right triangle.

Option (4).

{20, 21, 30}

30² = 20² + 21²

900 = 400 + 441

900 = 841

Not True.

Therefore, these numbers doesn't represent the sides of a right triangle.

mental cunning

explanation:

he is often referred to as a man of twists and turns