Question

find the area that f a rhombus with sides 12 cm and one of the diagonals = 16 cm

Answer 1

Given = sides of rhombus =12 Cm
diagonal = 16 cm
prove = to find area of rhombus
proof = area of triangle made my diagonal
Using herons formula -
Semi perimeter = 12+12+16/2
=40/2
s=20
area of triangle = √s(s-a) +(s-b) +(s-c)
√20(20-12)+(20-12)+(20-16)
√20+8+8+4
=1144.86cm sq.
area of whole rhombus = 2(1144.86)
=2289.72cm sq. (approx)