SSC CGL 2018 PYQ — Question 98

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q98

ABC is triangle. AB = 10 cm and BC = 16 cm. AD = 8 cm and is perpendicular to side BC. What is the length (in cm) of side AC?

Show answer & explanation

Correct answer: B

Explanation

  The correct answer is option 2 i.e. 2√41

Application

 

In the figure:

102 = x2 + 82

⇒ 100 = x2 + 64

⇒ x2 = 36

⇒ x = 6

And

a2 = (16 – x)2 + 64

⇒ a2 = 100 + 64

⇒ a = 2√41 cm