the front of a house is in the shape of an equilateral triangle with the measure of one side is 1m.find the height of the house.

Question

Topic:areas and. Volume

Answer 1

The height, h, of an equilateral triangle of side length 1m is √(1-0.5^2)=√0.75=0.866m approx. because the perpendicular from the vertex bisects the base. So we have a right-angled triangle and we can apply Pythagoras' Theorem: h^2=1^2-0.5^2, h=√(1-0.5^2).