Q. 13.9( 27 Votes )

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Answer :

From the property, we know that, If two sides of a triangle are equal then their corresponding angles are also equal.


So, as AB = AC,


ABC = ACB = 45°


As the sum of angles of a triangle is equal to 180°

ABC +  ACB + ∠ BAC  = 180°

⇒45° + 45° + ∠ BAC  = 180°

⇒90° + ∠ BAC  = 180°

BAC = 90°




AT = 49 sq.cm


Area of the sector  = one-fourth of a circle




AS = 77 sq.cm


Area of the shaded region, AR = AS - AT


AR = 77 – 49


AR = 28 sq.cm


∴ The area of the shaded region is 28 sq. cm.

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