In the given figure , calculate the area of the shaded portion.
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Area of shaded region = area of ∆ABC - area of ∆ADB.
_____________
∆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
____________________
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
Step-by-step explanation:
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