# <span lang="EN-US

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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