Answer:
Triangle Z
Explanation:
If a triangle is a right angle triangle, it will follow the Pythagoras theorem.
By Pythagoras theorem,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Options (1)
Side lengths of the triangle X: 8 cm, 13 cm, 5 cm
By Pythagoras theorem,
(13)² = 8² + 5²
169 = 64 + 25
169 = 69
False.
Option (2)
Side lengths of triangle Y: 14 cm, 30 cm, 17 cm
By Pythagoras theorem,
(30)² = (14)² + (13)²
900 = 196 + 169
900 = 365
False.
Option (3)
Side lengths of triangle Z: 26 cm, 10 cm, 24 cm
By Pythagoras theorem,
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Therefore, triangle Z represents a right triangle.