Question

Q5. Each side of an equilateral triangle measures 8 cm. The area of the triangle is

16/3cm^2​

Answer 1

Given:-

• Side of equilateral triangle ,a = 8

To Find:-

• Area of triangle ,A

Solution:-

According to the Question

we have to calculate the area of equilateral triangle .

As we know that each side in equilateral triangle is equal .

Area of equilateral triangle is calculated by the following formula.

• A = √3/4 a²

where,

• A denote area of triangle
• a denote side of triangle

substitute the value we get

$:\implies$ A = √3/4 × 8²

$:\implies$ A = √3/4 × 64

$:\implies$ A = √3 × 16

$:\implies$ A = 16√3 cm²

• Hence, the area of triangle is 16√3 cm².

Answer 2

Given :-

• Each side of an equilateral triangle is 8 cm

To Find :-

• Area of the equilateral triangle.

Solution :-

❍ In order to find the area of an equilateral triangle we have to apply the following formula ::

$\bigstar \;\; \boxed{\bf{ Area \;of\;equilateral\;triangle = \sqrt{\dfrac{3}{4}} \times a^{2}\; }}$

Where,

• a denotes side

Finding area of triangle :-

$\sf : \; \implies Area = \sqrt{\dfrac{3}{4}} \times 8^{2}$

$\sf : \; \implies Area = \sqrt{\dfrac{3}{4}} \times 64$

$\sf : \; \implies Area = \sqrt{3} \times 16$

$\sf : \; \implies Area = 16 \sqrt{3} \; cm^{2}$

Henceforth,

• Area of the equilateral triangle is 16√3 cm²