How is the formula for the area of a triangle related to the formula for the area of a parallelogram?
area of a triangle is A= 1/2 b x h and Area of a parallelogram is A=b x h. So I would say the area of a triangle is half of the area of a parallelogram. Or a parallelogram is double the area of a triangle.
The Area of triangle is numerically equals to the half of area of parallelogram.
We have, the area of triangle is the half of product of its Base and Height.
\(A=\dfrac{1}{2}\ \rm Base\times\rm Height\)....(1).
Similarly, the Area of parallelogram is the product of its Base And Height.
\(A=\rm Base\times Height\)....(2).
From equation (1) and equation (2), it is clear that the area of triangle is half of the area of parallelogram.
Hence we can say that,
\(\rm Area(triangle)=\dfrac{1}{2}\rm Area (parallelogram)\).
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