SOLUTION: The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

Question 1021811: The side length of an equilateral triangle is 6 cm. What is the height of the triangle?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
An equilateral triangle with side length
of 6 cm.
Draw a line from the base of the triangle
up to the top apex.
You now have a right angled triangle
with a hypotenuse of 6 cm
and a base of 3 cm.
Pythagoras theorem
Hypotenuse^2 - base^2 = height^2
6^2 - 3^2 = height^2
36 - 9 = height^2
27 = height^2
Height = √27
Height = 5.2 cm (2 decimal places)
Hope this helps :-)
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