SSC CGL 2022 PYQ — Question 57

The correct answer is Option 4. i.e. 7/25.

Given:

AB = 7 cm

AC – BC = 1 cm

Concept Used:

Pythagoras theorem, P² + B² = H²

Explanation:

Let BC = x, AC = 1 + x

In ∆ ABC, AC² = AB² + BC²

⇒ (1 + x)² = 7² + x²

⇒ x² + 2x + 1 = 49 + x²

⇒ 2x = 48

⇒ x = 24 

So, BC = 24 cm and AC = 1 + BC = 1 + 24 = 25 cm

Now, sinC = AB/AC  = 7/25

Hence the value of sinC is 7/25.