Browse Tag: derivation of area of a triangle

How to Calculate the Area of a Triangle

We have learned about the areas of squares, rectangles, circle, parallelogram, and trapezoid. There is one important shape we haven’t discuss: the area of a triangle.

The area of a triangle is  half the product of its base and height. But did you know where did the formula come from? Let us discuss it in this post.

The area of a triangle is related to the area of other shapes, but we are going to relate it to the area of a parallelogram.

area of a triangle

Consider the triangle above with base b and height h. If we are going to create another triangle congruent to it (congruent means the same size and shape), then we can form a quadrilateral by coinciding their  two corresponding sides. What is interesting is that every time we do this, we create a parallelogram.  Continue Reading