the length of 2 adjacent sides of a parallelogram are 26cm and 28cm and the length of the diagonal through the common point is 30 cm find the area of the parallelogram
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Answer:
Area of parallelogram = 672 cm²
Step-by-step explanation:
At first, we have to calculate the area of the triangle having sides 28cm, 26cm, 30cm.
Let the area be S
S = 26 + 28 + 30 / 2
= 84 / 2
= 42 cm
By using Heron's Formula
Area of triangle
= √s (s - a) (s - b) (s - c)
= √ 42 (42 - 28) ( 42 - 26) ( 42 - 30)
= √ 42 * 14 * 16 * 12
= √ 112896
= 336 cm²
∴ Area of parallelogram = 2 * Area of triangle
∴ Area of parallelogram = 2 * 336 = 672 cm²
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