Question

Find the length of an altitude of an equilateral triangle of side 2 cm

Answer 1

Answer:Area of an equilateral triangle=√3÷4 a²

⇒area = √3÷4×2²

⇒area =√3

1÷2 bh =√3

⇒h=√3×2÷2⇒h=√3

Answer 2

The length of an altitude of an equilateral triangle is $\sqrt 3\ cm$.

Step-by-step explanation:

Given : An equilateral triangle of side 2 cm.

To find : The length of an altitude of an equilateral triangle ?

Solution :

The altitude of the equilateral triangle is

$h=\frac{\sqrt3}{2} a$

The side of the equilateral triangle is a=2 cm.

Substitute the value,

$h=\frac{\sqrt3}{2}\times 2$

$h=\sqrt 3\ cm$

Therefore, the length of an altitude of an equilateral triangle is $\sqrt 3\ cm$.

#Learn more

If in an equilateral triangle the length of the median is root3cm then find the length of the side of the equilateral triangle.

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