the area of rhombus is 96 CM square if one of its diagonal is 16 cm then find the length of its sides
Answers
Answered by
14
Given: AC = 16 cm and Area of rhombus ABCD = 96 cm^2
1/2×AC×BD=96CM^2
1/2×16CM×BD=96CM^2
BD=12CM
AO=1/2×AC=1/2×16=8 cm
DO=1/2×BD=1/2×12=6 cm
Now in right ∆ AOD
AD^2 =AO^2 + DO^2 = (8 cm)^2 + (6 cm)^2 = 64 cm^2 + 36 cm^2 = 100 cm^2
AD^2=100 cm^2
AD = 10 CM
All sides of a rhombus are equal in length.
Therefore length of each side of rhombus =10cm
1/2×AC×BD=96CM^2
1/2×16CM×BD=96CM^2
BD=12CM
AO=1/2×AC=1/2×16=8 cm
DO=1/2×BD=1/2×12=6 cm
Now in right ∆ AOD
AD^2 =AO^2 + DO^2 = (8 cm)^2 + (6 cm)^2 = 64 cm^2 + 36 cm^2 = 100 cm^2
AD^2=100 cm^2
AD = 10 CM
All sides of a rhombus are equal in length.
Therefore length of each side of rhombus =10cm
Attachments:
Similar questions