The perimeter of an equilateral triangle is 32 centimeters. How do you find the length of an altitude of the triangle?
Calculated "from grass roots up"
So we need to find
We are given that the perimeter is 32 cm
Substituting these value into equation (1) gives
There is a very well known algebra method hear where if we have
By looking at the 'factor tree' we have
Calculated using a quicker method: By ratio
If you had an equilateral triangle of side length 2 then you would have the condition in the above diagram.
We know that the perimeter in the question is 32 cm. So each side is of length:
So by ratio, using the values in this diagram to those in my other solution we have: