Answer:
{14, 47, 50}
Step-by-step explanation:
The three sides of a right triangle must satisfy
a² + b² = c², known as the Pythagorean Theorem. So let's put the pairs into the theorem.
20, 48, 52
a² + b² = c²
20² + 48² = 52²
400 + 2304 = 2704
2704 = 2704
20, 48, and 52 represent the three sides of a right triangle.
40, 75, 85
a² + b² = c²
40² + 75² = 85²
1600 + 5625 = 7225
7225 = 7225
40, 75, and 85 represent the three sides of a right triangle.
14, 47, 50
a² + b² = c²
14² + 47² = 50²
196 + 2209 = 2500
2405 ≠ 2500
14, 47, and 50 do NOT represent the three sides of a right triangle.
13, 84, 85
a² + b² = c²
13² + 84² = 85²
169 + 7056 = 7225
7225 = 7225
13, 84, and 85 represent the sides of a right triangle.
14, 47, and 50 do NOT represent the three sides of a right triangle, therefore making it your answer.
