The given figure shows a right angled triangle ABC and an equilateral triangle BCD Find the area of the - Maths - Area and Perimeter of Plane Figure

Question

The given figure shows a right angled triangle ABC and an
equilateral triangle BCD Find the area of the shaded portion (Given
: AC = 16 cm, BC = 8 cm )​​

Sambit Mallick · Answer

AC2=AB2+BC2
AB=sq root of AC2-BC2
=sq root of (16)2-(8)2
=sq root of 256-64
=sq root of 192
=13 86 cm (approx)
area of triangle ABC
=(1/2)*BC*AB
=(1/2)*8*13 86
=4*13 86
=55 44 cm2
area of triangle equilateral BCD
=(root3 /4)*(BC)2
=(root3 /4)*8*8
=16 root 3
=16*1 732
=27 712 cm2
area of shaded portion
=55 44-27 712
=27 728 cm2

The given figure shows a right angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion. (Given : AC = 16 cm, BC = 8 cm )​​

The given figure shows a right angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion. (Given : AC = 16 cm, BC = 8 cm )