Question

The area of an equilateral triangle whose side is a cm is √3/4 a^2 cm^2 Find its height​

Answer 1

hope it will help you.

area of an equilateral triangle is

$\frac{ \sqrt{3} }{4} {a}^{2} = \frac{1}{2} b \times h$

base is a

As all sides are equal

Answer 2

Given:-

• Side of an equilateral triangle = a cm
• Area of an equilateral triangle = √3/4 a² cm²

To find:-

• Find the height of an equilateral triangle ?

Solution:-

We have,

The side of an equilateral triangle is 'a' cm.

We know that,

The height of an equilateral triangle = √3/2 × a

According to the question:-

=> √3/2 × a

=> √3a/2

Hence, the height of an equilateral triangle is √3a/2 cm.

Some Important:-

Base and height.

• A = 1/2 b × h (where b = base , h = height)

Three side.

• A = √s(s - a)(s - b)(s - c) (where a, b and c are the length of the side)

Two sides and including angle (where a, b and two sides and c is the angle between them.)

Equilateral triangle

• A = S² × √3/4 (where s = side)