Question

Find the measure of the other diagonal of the rhombus if one of them is 24cm and area of the rhombus 432cm2. ​

Answer 1

$\bigstar$ Question :

$\mapsto$ Find te measure of the other diagonal of the rhombus,if one of them is 24cm and area of the rhombus is 432$cm^{2}$.

$\bigstar$ To Find :

$\mapsto$ Other diagonal value = ?

$\bigstar$ Given :

$\mapsto$ Diagonal 1 = 24 cm

$\mapsto$ Area of rhombus = 432$cm^{2}$

$\bigstar$ Required Formula :

$\mapsto$ Area of rhombus = $\frac{1}{2} × d_1 × d_2$

$\bigstar$ Solution :

☛ 432 = $\frac{1}{2} × 24 × d_2$

☛ 432 = $\frac{24}{2} × d_2$

☛ 432 = 12 × $d_2$

☛ $d_2$ = $\frac{432}{12}$

☛ $d_2$ = 36 cm

Let's Verify that,

☛ $\frac{1}{2} \times 24 \times 36$

☛$\frac{24}{2} \times 36$

☛ $12 \times 36$

☛ 432 sq.cm

$\bigstar$ Answer :

$\mapsto$ The value of other diagonal is 36 cm.

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