Question

The area of a rhombus is 60cm^2 and one of its diagonal is 8cm. Find the other diagonal

Answer 1

Given:

• Area of rhombus = 60 cm²
• One of the diagonals of the rhombus = 8 cm

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To find:

• The other diagonal.

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Solution:

We know that,

$\boxed {\sf {\pink {Area\ of\ rhombus = \dfrac {1}{2} \times d_{1} \times d_{2}}}}$

Where,

$\sf d_{1}$ = 1st diagonal

$\sf d_{2}$ = 2nd diagonal

Now, substitute the values in the formula,

$\sf {60 = \dfrac {1}{2} \times 8 \times d_{2}}$

$\sf {60 = 4d_{2}}$

$\sf {\dfrac {60}{4} = d_{2}}$

$\boxed {\bf {\red {15cm = d_{2}}}}$

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Other diagonal:

Other diagonal of the rhombus is 15 cm.