Question

Find the area of the shaded region in the figure given below
12 cm
52 cm
16 cm
48 cm​

Answer 1

Answer:

Area of shaded region = area of ∆ABC - area of ∆ADB.

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∆ADB is a right angle triangle.

In ∆ADB,

AD = 12 cm

BD = 16 cm

Ar(∆ADB) = 1/2 × base × height

=> Ar(∆ADB) = 1/2 × AD × BD

=> Ar(∆ADB) = 1/2 × 12 × 16

=> Ar(∆ADB) = 96 cm^2

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you can find AB by using Pythagoras theorem.

The sides of the triangle are 48cm, 52cm and 20cm.

_______________________

Area of shaded region = area of ∆ABC - area of ∆ADB.

=> Area of shaded region = 480 - 96

=> Area of shaded region = 384 cm^2

Hope it's help you....