two adjacent sides of parallelogram are 28 cm and 26 CM one diagonal of it is 30 cm long find the area of the parallelogram also find the distance between its shorter sides
Answers
Area of Parallelogram = 672 cm² and distance between its shorter sides = 25.84 cm
Step-by-step explanation:
Diagonal divides parallelogram in two equal area of triangles
Sides on one traingle
28 cm , 26 cm & 30 cm
s = (28 + 26 + 30)/2 = 42
Area of Triangle = √(42)(42 - 28)(42 - 26)(42 -30)
=√42 * 14 * 16 * 12
= √3 * 14 * 14 * 16 * 4 * 3
= 3 * 14 * 4 * 2
= 336 cm²
Area of Parallelogram = 2 * 336 = 672 cm²
the distance between its shorter sides
=> Shorter side * distance between its shorter sides = Area of Parallelogram
=> 26 * distance between its shorter sides = 672
=> distance between its shorter sides = 25.84 cm
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