The height of an equilateral triangle is 7sqrt3 cm. What…

The height of an equilateral triangle is ${7\sqrt3}$ cm. What is the area of this equilateral triangle?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. $49 {\sqrt3} cm^2$ .

Height of the equilateral triangle = ${7\sqrt3}$

${a\sqrt3}/2 =$ ${7\sqrt3}$

a = 14 cm

Area of the equilateral triangle = $\frac{\sqrt3}{4}a^2$

= $\frac{\sqrt3}{4}14^2$

= $49 {\sqrt3} cm^2$

SSC CGL 2022 PYQ — Question 74