Question

the area of a rhombus is 48 m sq and one of its diagonal is 8 m . find the length of the other diagonal.​

Answer 1

Answer:

Since the diagonals of a rhombus are perpendicular to each other and bisect each other. Now we need to calculate the area of \[\Delta AOB\]. Therefore the length of another diagonal is 12 cm.

Step-by-step explanation:

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Answer 2

Answer:

• The length of other diagonal is 12 m.

Step-by-step explanation:

Given:

• The area of a rhombus is 48 m sq and one of its diagonal is 8 m .

To Find :

• The length of the other diagonal.

Solution:

Here we are given area of rhombus and measure of one diagonal of the rhombus. So, let the other diagonal be x m.

$\mapsto \sf Area \: of \: rhombus = \dfrac{1}{2} \times d_{1} \times d_{2}$

$\mapsto \sf 48 {m}^{2} = \dfrac{1}{2} \times d_{1} \times d_{2}$

$\sf \mapsto 48 {m}^{2} = \dfrac{1}{2} \times 8 \times x$

$\sf \mapsto4x = 48$

$\sf \mapsto x = \dfrac{ \cancel{48}}{ \cancel4}$

$\sf \mapsto x = 12m$

Hence,

${ \underline{ \boxed{ \red{ \sf The \: length \: of \: other \: diagonal \: is \: 12 m.}}}}$