Question

find area of a rhombus in which each side measures 15 cm and one of whose diagonal is 24 cm

Answer 1

you get two triangles of same areas
find area of only one triangle
sides are 15,15 and 24
find using herons formula
s= (15+15+24)/2 =27
area= root(27×12×12×3)
area =3×12×3
area =108 cm^2
area of rhombus = sum of areas of both triangles since both areas are equal
area of rhombus =2×108
area of rhombus = 216 cm^2