Question

The height of an equilateral triangle is 6cm. Find its area.
please answer​

Answer 1

Altitude = Height = 6 cm

Let length of side be 'a'

So , √3/2 a = 6  

So a = 12/√3

So a = 4√3 cm

This 'a' is the length of the side

area = (√3/4) × a²

Area = (√3/4) × (4√3)²  

Area = (√3/4) × (16×3)  

Area = ✓3 × 4 × 3

Area = 12√3  

So, Area = 12×1.732

Area = 20.784 cm²

Answer 2

Answer:

Altitude = Height = 6 cm

Let length of side be 'a'

So , √3/2 a = 6  

So a = 12/√3

So a = 4√3 cm

This 'a' is the length of the side

area = (√3/4) × a²

Area = (√3/4) × (4√3)²  

Area = (√3/4) × (16×3)  

Area = ✓3 × 4 × 3

Area = 12√3  

So, Area = 12×1.732

Area = 20.784 cm²