Question

the height of an equilateral triangle with side 14 cm _________​

Answer 1

Solution:

Given:

Equilateral triangle having side 14 cm

Formula Used:

Height of equilateral triangle = √3/2 × side

Calculation:

Height of equilateral triangle = √3/2 × side

⇒ √3/2 × 14

⇒ 7√3 cm

∴ The height of the equilateral triangle is 7√3 cm.

Answer 2

Answer:

The height of the equilateral triangle is $7\sqrt{3} cm$

Step-by-step explanation:

The height of the equilateral triangle is to be found here of the equilateral triangle whose side is given to be 14cm. Now as we know that an equilateral triangle has all of its respective sides to be equal and its height is given by the formula;

Height = $\frac{\sqrt{3} }{2} (side)$

Side = 14cm

∴ Height = $\frac{\sqrt{3} }{2}$ × 14cm

⇒ Height = $\sqrt{3}$ × 7 cm

⇒ Height = $7\sqrt{3} cm$

Hence the height of the following equilateral triangle is $7\sqrt{3} cm$