Question

9.
One side of an equilateral triangle is 4 cm Its area will be-
किसी समबाहु त्रिभुज की एक भुजा 4सेमी है इसका क्षेत्रफल होगा​

Answer 1

4√3 sq cm is the correct answer....

Answer 2

Given:

An equilateral triangle with a side 4 cm

To find:

Area of the triangle

Solution:

In the equilateral triangle, all the sides of the triangle are equal to each other and in the question, we have given the length of one side is 4 cm then the length of the other sides also will be 4 cm.

and you must know that the angles of the equilateral triangle also equal to each other each angle of the triangle measures 60°

and the area of the triangle is given by:

$\frac{\sqrt{3}}{4}a^{2}$

And in the question, we have given the side of the triangle as 4 cm

• $\frac{\sqrt{3}}{4}4^{2}$
• $\frac{\sqrt{3}}{4}16$
• $4\sqrt{3}~ cm^{2}$

Hence the area of the given triangle with the side 4 cm is 4√3 cm²