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Learn how to calculate the area of parallelograms and triangles through visual shearing demonstrations. Discover the relationship between bases, heights, and area calculation methods.
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Polygon Areas 2 The areaof a parallelogram and a triangle Tandi Clausen-May Click the mouse
Click the mouse only when you see or If you click too soon you will miss the best bits. Click the mouse Click to see Click the mouse
The area of a parallelogram Click the mouse
height base We know that Area of a rectangle =length of a row × number of rows = base × height Click the mouse
height parallelogramArea of the rectangle base We can shear the rectangle into a parallelogram. Click to see the rectangle shear Area of the rectangle = base × height Click the mouse
A triangle is half of a rectangle. We can shear the rectangle into a parallelogram. Click to see the rectangle shear We have sheared the triangle too! Click the mouse
Let’s shear some more triangles. Click to see the triangle shear Click the mouse
The triangles are all different shapes, but they all have the same area. Click to see these triangles shear They have the same area as this one. Click the mouse
base × height2 Area = height base They are all half the base times the height Click the mouse
2 height base Summary Area = base × height Click to see the triangle shear Click the mouse
The End Tandi Clausen-May