Question

If the area of rhombus is 20cm square and one of its diagonal is 5cm than find the value of another diagonal

Answer 1

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Answer 2

In the question, it is given that one of its diagonal is 5 cm. Let the length of 2nd diagonal be x cm

So, length of 1st diagonal = 5 cm

     length of 2nd diagonal = x  cm

We know that the area of rhombus is half of product of  its diagonals.In the question area of the given rhombus is 20 cm^2.

∴ 20 cm^2 = $\dfrac{1}{2} \times x \times 5 \:cm^2$

⇒ 20 cm^2 x 2 = x × 5 cm^2

⇒ 20 x 2 = 5x

⇒ $\dfrac{40}{5} = x$

⇒ 8 = x

Therefore the length( value ) of other diagonal is x cm = 8 cm.