The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

For triangle ABC (right-angled triangle), Using the Pythagoras theorem, Base 2 \+ Height 2 = Hypotenuse 2 ⇒ 8 2 + height 2 = 16 2 ⇒ 64 + height 2 = 256 ⇒ height 2 = 256 - 64 ⇒ height 2 = 192 ⇒ height = ⇒ height = 8 Area of triangle ABC = x base x height = = = cm 2 For triangle BCD, Area of an equilateral triangle = x side 2 = x 8 2 = x 64 = 16 cm 2 Area of Δ ABD (shaded portion) = Area of Δ ABC - Area of Δ BDC = 32 - 16 cm 2 = 16 cm 2 Hence, the area of the shaded portion is 16 cm 2 = 27.712 cm 2 .

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

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The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.

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Find the area and the perimeter of quadrilateral ABCD, given below; if, AB = 8 cm, AD = 10 cm, BD = 12 cm, DC = 13 cm and ∠DBC = 90°.

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The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ 36.72 per 100 m² is ₹ 49,572; find its base and height.

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Mathematics

The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

Mensuration

Related Questions

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.

Find the area and the perimeter of quadrilateral ABCD, given below; if, AB = 8 cm, AD = 10 cm, BD = 12 cm, DC = 13 cm and ∠DBC = 90°.

The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ 36.72 per 100 m² is ₹ 49,572; find its base and height.

Mathematics

The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

Mensuration

Related Questions

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.

Find the area and the perimeter of quadrilateral ABCD, given below; if, AB = 8 cm, AD = 10 cm, BD = 12 cm, DC = 13 cm and ∠DBC = 90°.

The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ 36.72 per 100 m2 is ₹ 49,572; find its base and height.

The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ 36.72 per 100 m² is ₹ 49,572; find its base and height.