Which set of numbers can represent the side lengths, in centimeters, of a right triangle?

0 8, 12, 15

O 10, 24, 26

O 12, 20, 25

15, 18, 20

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The set {10, 24, 26} formed a right triangle

Step-by-step explanation:

* Lets explain how to check the sides lengths which formed a

right triangle

- In triangle ABC

# If AC is the longest side in length

# If (AC) ² = (AB) ² + (BC) ²

∴ AB, BC, AC formed a right angle triangle

∴ m∠B = 90° (The angle opposite to the longest side)

∴ AC is the hypotenuse

* Now lets solve the problem

- In set 8, 12, 15

∵ The longest side is 15 cm

∴ (15) ² = 225

∵ (8) ² + (12) ² = 64 + 144 = 208

∵ (15) ² ≠ (8) ² + (12) ²

∴ The set not formed a right triangle

- In set 10, 24, 26

∵ The longest side is 26 cm

∴ (26) ² = 676

∵ (10) ² + (24) ² = 100 + 576 = 676

∵ (26) ² = (10) ² + (24) ²

∴ The set formed a right triangle

- In set 12, 20, 25

∵ The longest side is 25 cm

∴ (25) ² = 625

∵ (12) ² + (20) ² = 144 + 400 = 544

∵ (25) ² ≠ (12) ² + (20) ²

∴ The set not formed a right triangle

- In set 15, 18, 20

∵ The longest side is 20 cm

∴ (20) ² = 400

∵ (15) ² + (18) ² = 225 + 324 = 549

∵ (20) ² ≠ (15) ² + (18) ²

∴ The set not formed a right triangle

* The set {10, 24, 26} formed a right triangle