Question

ABCD is a rhombus with one diagonal equal to 18 CM and length of each side to 15 CM. find the length of the other diagonal and area of rhombus

Answer 1

area of rhombus =216 cm square
length of the other diagonal is 24 cm
Hope it helps you.............

Answer 2

Answer:

$\text{Area of rhombus is }216 cm^2$

Step-by-step explanation:

Given ABCD is a rhombus with one diagonal equal to 18 CM and length of each side to 15 CM.

we have to find the length of the other diagonal and area of rhombus

As all sides of rhombus are equals are its diagonals bisect at right angle.

AB=BC=CD=DA=15 cm.

$BO=\frac{1}{2}BD=\frac{1}{2}\times 18=9cm$

In right angled triangle BOC

By Pythagoras theorem

$BC^2=OB^2+OC^2$

$OC^2=BC^2-OB^2$

$OC^2=(15)^2-(9)^2=144$

$OC=12cm$

$AC=2\times OC=2\times 12=24cm$

$Area=\frac{1}{2}\times d_1\times d_2$

       $=\frac{1}{2}\times 18\times 24=216 cm^2$

$\text{Area of rhombus is }216 cm^2$