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Calculate the area of the shaded portion of the triangle as shown in the figure.

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Calculate the area of the shaded portion of the triangle as shown in the figure.

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In right angled triangle ABD

AB2 = AD2 + BD2

⇒ AB2 = (12)2 + (16)2

⇒ AB2 = 144 + 256

⇒ AB2 = 400 cm2

⇒ AB = √400 cm2

⇒ AB = 20 cm

Now in ΔABC, a = 48 cm, b = 52 cm, c = 20 cm.

Thus, area of shaded portion of the triangle 

= (480 – 96) cm2 

= 384 cm2

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