Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The length of each side of an equilateral triangle having an area of 9sqrt{3} cm^{2} is (A) 8 cm (B) 36 cm (C) 4 cm (D) 6 cm

The length of each side of an equilateral triangle having an area of  9\sqrt{3}\; cm^{2} is

(A) 8 cm

(B) 36 cm

(C) 4 cm

(D) 6 cm

Answers (1)

[D]

Given area of equilateral triangle 9\sqrt{3}cm^{2}

Let the side of equilateral triangle be = a cm

So\; we\; know\; that\; area\; of\; triangle\; = \frac{\sqrt{3}}{4}\times \left ( side \right )^{2}

 

9\sqrt{3}= \frac{\sqrt{3}}{4}\times \left ( side \right )^{2}

9\sqrt{3}= \frac{\sqrt{3}}{4}\times \left ( a \right )^{2}            [\therefore side = a]

9\sqrt{3}\times 4\; = \; \sqrt{3}\times a^{2}

a^{2}= \; \frac{36\sqrt{3}}{\sqrt{3}}

a2 = 36

a = \sqrt{36}

a = 6 cm

Hence, side of equilateral triangle is 6 cm.

Hence option (D) is correct.

 

Posted by

infoexpert21

View full answer

Similar Questions

Latest Question