Question

the perimeter of an equilateral triangle is 32 centimeters. find the length of an altitude of the triangle

Answer 1

h = 9.2cm

Explanation:

the perimeter of an equilateral triangle P=3a, so

32cm=+3a.solve for a

32cm%2F3=+a

10.67cm=+a

Find the length of an altitude h of the triangle

Imagine, you drop the vertical + bisector from the top angle down to the bottom side in your triangle

Note that this bisector is also the altitude (height) of the triangle which equilateral triangle split in half (two right triangles)

So, by using the Pythagorean Theorem, we get that the length of the altitude.