Math CentralQuandaries & Queries


Question from Diana, a student:

how do i find the are of an equilateral triangle when they give us the base of 2 inch.


Since you have an equilateral triangle you know all the sides have length 2 inches. I drew a diagram and added a line segment from the apex of the triangle to the middle of the base. The length of this line segment is the height h of the triangle.


The area of the triangle is half the base, which is 1 inch, times the height h. You can find h using Pythagoras' theorem.


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