Question

11. The area of an equilateral triangle is (6 x 3) cm. Find the length of each side of
the triangle​

Answer 1

Answer:

Step-by-step explanation:

Given area =6×3

3×side=area of equilateral triangle

3×side=6×3

Side=6×3/3

Side=6

Answer 2

Given :-

The area of an equilateral triangle is (6 × 3) cm.

To Find :-

The length of each side of  the triangle.

Analysis :-

Consider each side of the triangle as a variable.

​Make an equation by substituting in the formula of area of triangle.

Then find the value of the sides accordingly.

Solution :-

We know that,

• s = Side
• a = Area

Finding the area,

Area of an equilateral triangle = 6 × 3

Area (a) = 18 cm²

Let each side be 's'.

By the formula,

$\underline{\boxed{\sf Area \ of \ triangle=3 \times Side}}$

Given that,

Area (a) = 18 cm²

Substituting their values,

$\sf 18=3s$

$\sf s=\dfrac{18}{3}$

$\sf s=6$

Therefore, each side of the triangle is 6 cm.