The area of a rhombus is $21 c m^{2}$ . One of its diagonals measures $6 c m$ . What is the length of the other diagonal?

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Solution

Area of rhombus $= 21 c m^{2}$
Length of one diagonal $= 6$ cm
Let the length of other diagonal $=$ x cm
Area of rhombus
$= \frac{1}{2} \times$ [Product of diagonals]
$21 = \frac{1}{2} \times 6 \times x$
$\Rightarrow x = 7$ cm
Length of other diagonal
$= 7$ cm.

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The area of a rhombus is 21 cm2. One of its diagonals measures 6 cm. What is the length of the other diagonal?

Area of rhombus=21cm2Length of one diagonal =6cmLet the length of other diagonal=x cmArea of rhombus=12×[Product of diagonals]21=12×6×x⇒x=7cmLength of other diagonal=7cm.

The area of a rhombus is $21 c m^{2}$ . One of its diagonals measures $6 c m$ . What is the length of the other diagonal?

Area of rhombus $= 21 c m^{2}$
Length of one diagonal $= 6$ cm
Let the length of other diagonal $=$ x cm
Area of rhombus
$= \frac{1}{2} \times$ [Product of diagonals]
$21 = \frac{1}{2} \times 6 \times x$
$\Rightarrow x = 7$ cm
Length of other diagonal
$= 7$ cm.