Question

the area of a rhombus is 12sq cm .if one diagonal is of 20 cm, find the other diagonal

Answer 1

Question

the area of a rhombus is 12sq cm .if one diagonal is of 20 cm, find the other diagonal


Answer


Given.

correction

area is 120 as u tell me in answer inbox

$area \: of \: rhombous = 120 {cm}^{2}$

diagonal=20 cm



Formula used



$area \: of \: rhombous = \frac{1}{2} \times d(1) \times d(2)$


put values in formula we get



$120 = \frac{1}{2} \times 20 \times d(2)$


$240 = 20 \times d(2)$



$\frac{240}{20} = d(2)$


$d(2) = 12 \: cm$


Hence


Another diagonal of rhombus is 12 cm

Answer 2

Answer

12 Cm

$\red {\huge{solution}}$
$in \: the \: question \: silly \: \\ mistake \: area \: of \: rhombus \\ \: is \: equal \: to \: {120cm}^{2} .$

Given

$Area \: of \: Rhombusu \: is \: \\ equal \: to \: {120cm}^{2} . \\ diagonal \: of \: Rhombus \: is \\ \: equal \: to \: 20cm.$

Here we using formula ,

Area of Rhombus =$\frac{1}{2} \times d_{1} × d_{2}$

Now we putting the value of area of Rhombus and diagonals.

120 = $\frac {1}{2} \times 20 × d_{2}$

120 = $\frac{1}{2} \times 20 × d_{2}$

$120 = \frac{1}{2} \times 20 \times d_{2} \\ \\ 120 = 10 \times d_{2} \\ \\ d_{2} = \frac{120}{10} \\ \\ = 12cm$

therefore the Diagonal is equal to 12 cm.

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