Question

The rhombus whose area is 144cm².One of the diogonals is twice as long as the other .The lengths of the diagonals are

Answer 1

QUESTION:

• The rhombus whose area is 144cm².One of the diogonals is twice as long as the other .The lengths of the diagonals are

ANSWER:

Area of rhombus= 1/2 x product of diagonals

let d1= d and d2= 2d

substituting in the formula we get=>

=>1/2 × d × 2d = 144

=> 2d^2/ 2 = 144

${d}^{2} \: = \: \sqrt{144}$

$d = + - \sqrt{144}$

d= 12, -12

*Note: -12 is not taken into consideration as it is a negative value

So d = 12 cm

2d = 2(12)=24 cm

• length of diagonals are 12cm and 24 cm.