Question

A length of a side of an equilateral triangle is 10 cm find the height of the triangle

Answer 1

Answer:

height of the triangle will be 5√3 cm

Answer 2

Given : Length of a side of an equilateral triangle is 10 cm.

To find : The height of the triangle.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Now, there is a dedicated mathematical formula for calculating the height of an equilateral triangle, by knowing the length of its side (all three sides are equal, in case of an equilateral triangle). The mathematical formula is -

Height of equilateral triangle :

$\frac{ \sqrt{3} }{2} \times a$

Here, a = length of the a side of the equilateral triangle

So,

The height of the given equilateral triangle :

$= \frac{ \sqrt{3} }{2} \times 10$

= 5√3 cm

Hence, the height of the equilateral triangle is 5√3 cm