Question

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

Answer 1

Given:

Side of an equilateral triangle = a cm

Area of an equilateral triangle = √3/4 a² cm²

Find:

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

=> √3/2 × a

=> √3a/2

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

Important Information:

• 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)
• Equilateral triangle .
• A = S² × √3/4 (where s = side)

I hope it will help you.

Regards.

Answer 2

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)