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Consider a parallelogram where the base and the height are known. Drawing a diagonal divides the parallelogram into two triangles. Therefore, the area of the parallelogram can be written as the sum of the areas of the triangles.
A1=21bh, A2=21bh
Factor out bh
Add fractions
Add terms
aa=1
Identity Property of Multiplication
Consider a parallelogram where the side lengths of the non-parallel sides and the angle between them are known.
Draw a height of the parallelogram from D to AB. Let E be the other endpoint of the height.