Question

One of the diagonals of the rhombus is 26cm long and it's area is 260square cm. find the length of the other diagonal?

Answer 1

Answer:

20cm

Step-by-step explanation:

1/2d₁d₂=260

1/2.26.d₂=260

d₂=20cm

hope it helps....pls mark my ans the brainliest..........

Answer 2

Given,

A rhombus with area, $A=260cm^{2}$

And length of one of the diagonal, $d_{1}=26cm$

To find,

The length of another diagonal of the rhombus, $d_{2}$

Solution,

We know that,

Area of rhombus is given by,

$Area= \frac{d_{1}d_{2}}{2}$

So, we can use the above formula to find the unknown diagonal of the rhombus.

$A=}\frac{d_{1}d_{2}}{2}$

⇒$260cm^{2}=\frac{26.d_{2}}{2}$

⇒$d_{2}=\frac{260(2)}{26}$

⇒$d_{2}=10(2)$
⇒$d_{2}=20cm$

Therefore, the diagonals of rhombus are $d_{1}=26cm$ and $d_{2}=20cm.$