Question : The height of an equilateral triangle is $9 \sqrt{3} \mathrm{~cm}$. What is the area of this equilateral triangle?
Option 1: $92 \sqrt{3} \mathrm{~cm}^2$
Option 2: $67 \sqrt{3} \mathrm{~cm}^2$
Option 3: $49 \sqrt{3} \mathrm{~cm}^2$
Option 4: $81 \sqrt{3} \mathrm{~cm}^2$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $81 \sqrt{3} \mathrm{~cm}^2$
Solution : Let the sides of the equilateral triangle be $a$, then its height = $\frac{a\sqrt3}{2}$ ⇒ $9\sqrt3 = \frac{a\sqrt{3}}{2}$ $\therefore a = 18$ cm Now, the area of the triangle = $\frac{a^2\sqrt3}{4}$ = $\frac{18×18×\sqrt3}{4}$ = $81 \sqrt{3} \mathrm{~cm}^2$ Hence, the correct answer is $81 \sqrt{3} \mathrm{~cm}^2$.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The side of an equilateral triangle is 36 cm. What is the radius of the circle circumscribing this equilateral triangle?
Question : The height of an equilateral triangle is $7 \sqrt{3}$ cm. What is the area of this equilateral triangle?
Question : If the side of an equilateral triangle is 16 cm, then what is its area?
Question : Find the area of an equilateral triangle whose sides are 16 cm.
Question : The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile