7)The sides of a parallelogram are 100 m each and length of the longest diagonal is 160m. The area of parallelogram is: a. 9600 sq.m b. 9000 sq.m c. 9200 sq.m d. 8800 sq.m
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The diagonal divides the parallelogram into two equivalent triangles. Hence, its area will be equal to the sum of area of the two triangles.
Hence, we can determine the area of the two triangles using Heron’s formula.
what is heron's formula
In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.
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