Question

1. the area of the rhombus is 240 cm² and one of the diagonal is 16cm. find the other diagonal​

Answer 1

Step-by-step explanation:

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Answer 2

$\bf\bigstar{Question}$

The area of the rhombus is 240 cm² and one of the diagonal is 16cm.

Find the other diagonal​ .

$\bf\bigstar{Answer}$

Given :

Area of a rhombus = 240 cm²

One of it's diagonal = 16 cm

To find :

It's other diagonal ?

Solution :

As we know that,

$\bf{Area\:of\:a\:rhombus=\dfrac{1}{2}\bf{(diagonal\:x\:diagonal)}$

Here , area is already given.

We can take the unknown diagonal as 'a'.

Then,

$\longrightarrow\bf{AREA = }\bf\dfrac{1}{2}\bf{(16\:x\:a)}$

$\longrightarrow\bf{240=\dfrac{1}{2}(16\:x\:a)$

$\longrightarrow\bf{240\:x\:2= (16a)$

$\longrightarrow\bf{480= 16a}$

$\longrightarrow\bf{\dfrac{480}{16}=a}$

$\longrightarrow\bf{30 = a}$

∴ The other diagonal = 30 cm.

$\huge{\boxed{\bf{Other\:diagonal= 30\:cm}}}$

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