SSC CGL 2021 PYQ — Question 54

SSC CGL - 24 Aug 2021 - Shift 2 • Quantitative Aptitude • Q54

Point M and N are on the sides PQ and QR respectively of a triangle PQR, right angled at Q. If PN = 9 cm, MR = 7 cm and MN = 3 cm, then find the length of PR (in cm).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 11.

PN2 + MR​​​​​​​2 = MN​​​​​​​2 + PR2

⇒ 9​​​​​​​2 + 72 = 3​​​​​​​2 + PR2

⇒ 81 + 49 - 9 = PR2

⇒ PR = 121\sqrt{121} = 11