the two sides of a parallelogram area 28 cm and 20 CM if length of a diagonal is 35 cm find the area of the parallelogram
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Step-by-step explanation:
First we find area of ABC.
Sides are, a = 28 cm
b = 35 cm
and c = 21 cm
S = (a + b + c)/2
= (28 + 35 + 21)/2
= 84/2 = 42 cm
= 2 × 20 × 7
= 240cm2
∵ Diagonal of ∥ gm divides it into two equal parts.
∴ area of ∥ gm = 2 × area of ∆ ABC
= 2 × 240
= 480cm2
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