Question

Find the area of the whole figure.
(the Diagonals of the rhombus ABCD is 20cm)​

Answer 1

area of a rhombus= (d1×d2)÷2 = (20×20)÷2 = 400÷ 2= 200cm

area of triangle =

a= 5cm

b= 5cm

c= 3cm

s= (5+5+3)÷2=13÷2= 6.5m

s-a= 6.5- 5= 1.5cm

s-b= 6.5-5= 1.5cm

s-c= 6.5- 3= 3.5cm

by heron's formula

area= √6.5×√1.5×√1.5×√3.5

1.5√6.5×√3.5= 7.15cm (appx).

Total area= 200+7.15= 207.15cm(appx)