Answer:
{33, 56, 65}
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.