SSC CHSL 2024 PYQ — Question 74

The correct answer is option 2 i.e. 2.4 cm.

Given that

Lengths of sides = 3 cm, 4 cm, and 5 cm

Formula used

Area of triangle = √s(s-a)(s-b)(s-c),  where s = $\frac{a + b + c}{2}$

s = $\frac{3 + 4 +5}{2}$ = 6 

Area = √6(3)(2)(1) = √36 = 6

Now area is also equal to = $\frac{1}{2}$ × base × height

⇒ $\frac{1}{2}$ × 5 × height = 6

Hence, the height = 2.4 cm

Hence, the length of the perpendicular from the opposite vertex to the side whose length is 5 cm is 2.4 cm.