Question

the area of a rhombus os 234 cm2 square .if one of the diagonals is 19.5 cm long, find the length of the other diagonal

Answer 1

Answer:

Step-by-step explanation:

Area of a rhobus=1/2 x d1 x d2

1/2x d1 x d2=234

1/2 x 19.5 x d2 =234

d2= 234/19.5/2

d2=234x2/1.95

d2 =24cm

Therefore,length of ther diagonal=24cm

Answer 2

Given:

• The area of a rhombus is 234 cm sq.
• One of the diagonal is 19.5 cm

To find:

• The length of other diagonal

The formula used to find the area of the rhombus,

$\boxed{\bf \frac{1}{2}\times diagonal\ 1 \times diagonal\ 2}$ unit sq.

$\bf \implies 234 =\frac{1}{2}\times 19.5 \times diagonal\ 2$

$\bf \implies 234 =\frac{19.5}{2}\times diagonal\ 2$

$\bf \implies 234 \times \frac{2}{19.5} = diagonal\ 2$

$\bf \implies \frac{468}{19.5} = diagonal\ 2$

$\bf \implies 24 = diagonal\ 2$

∴ The length of the other diagonal 2 is 24 cm.