SSC CPO 2023 PYQ — Question 108

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q108

Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 5 2\sqrt{2} cm2.

Given that

A triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°

Formula used

Area of a triangle = 1/2 × a × b × sin(θ)

where a and b are sides of the triangle and θ is the angle between them

Calculation

Area of a triangle = 1/2 × 4 × 5 × sin(45°)

= 10 × (1/√2)

= 5 2\sqrt{2}cm2