find the area of the shaded region in the figure given below
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area of shaded region = 384 cm²
Step-by-step explanation:
Right angle triangle with sides 16 & 12 cm
hypotenuse = √16² + 12²
= √256 + 144
= √400
= 20 cm
area of right angles triangle = (1/2) * 16 * 12
= 96 cm²
triangle with sides 48 cm , 52 cm , 20 cm
s = (48 + 52 + 20)/2 = 60
Area = √60(60 - 48)(60 - 52)(60 - 20)
= √60 * 12 * 8 * 40
= √6 * 10 * 6 * 2 * 2 * 4 * 10 * 4
= 6 * 10 * 2 * 4
= 480 cm²
area of shaded region = 480 - 96
= 384 cm²
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