Question

find the altitude of an equilateral triangle of side 9cm

Answer 1

Answer:

Think of the altitude as a line that divides the equilateral triangle into two equal parts. Each part is a 30, 60, 90 triangle. The altitude of the triangle corresponds to the x side of the equilateral triangle. So: 9=x , and x=9/ .

Answer 2

The altitude of the equilateral triangle is approximately 7.794 cm

Given : The side of the equilateral triangle is 9 cm.

To find : The altitude of the triangle.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the altitude of the triangle)

Now, in case of an equilateral triangle :

Altitude = $\frac{ \sqrt{3} }{2} \times side$

So, the altitude of the given equilateral triangle will be :

$= \frac{ \sqrt{3} }{2} \times 9$

$= 7.794cm \: \:(approx.)$

(This will be considered as the final result.)

Hence, the altitude of the equilateral triangle is approximately 7.794 cm