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What is the Formula for the Area of a Triangle?

What is the formula for the area of a triangle?

Summary

  1. We can add the two triangles together to get a parallelogram
  2. We can use the formula of the area of a parallelogram to find the area of a triangle

Notes

    1. If we make a copy of our triangle, flip it over, and mash it onto the original triangle, we can make a parallelogram
    1. The base of the parallelogram is the same as the base of the original triangle
    2. The height of the parallelogram is the same as the height of the original triangle
    1. The formula for the area of a parallelogram is A = bh
    2. Since a parallelogram is made up of 2 triangles, we can just cut the area in half to get the area of 1 triangle
    3. So the area of a triangle is A = (1/2)bh
    1. Our original base was 8 in
    2. Our original height was 10 in