SSC CGL 2024 PYQ — Question 60

The correct answer is option 4  i.e. {5, 12, 13}

the sides of a right-angled triangle, we use the Pythagorean theorem = a² + b² = c²

where c is the largest number in the set (the hypotenuse).

(a) {3, 4, 6}

⇒ 3² + 4² = 9 + 16 = 25 

⇒ 6² = 36

Since 25 ≠ 36, this is not a right-angled triangle.

(b) {8, 15, 16}

⇒ 8² + 15² = 64 + 225 = 289

⇒ 16² = 256

Since 289 ≠ 256, this is not a right-angled triangle.

(c) {5, 10, 12}

⇒ 5² + 10² = 25 + 100 = 125 

⇒ 12² = 144

Since 125 ≠ 144, this is not a right-angled triangle.

(d) {5, 12, 13}

⇒ 5² + 12² = 25 + 144 = 169

⇒ 13² = 169

Since 169 = 169, this is a right-angled triangle.