Question

the length of one of the diagonals of a rhombus is 8 cm and its area is 20 sq cm . what is the length of its other diagonals​

Answer 1

Answer:

5cm

Step-by-step explanation:

area of rhombus=20sqcm

formula=1/2×d1×d2

length of one diagonal=8cm

lengthy of other diagonal=1/2×8×d2=20

4×d2=20

d2=20/4=5cm

Answer 2

Given : Length of one of the diagonals of a rhombus is 8cm and it's area is 20cm².

To Find : Length of the other diagonal.

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Let the length of the other diagonal be x

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As we know that :

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$\underline{\boxed{\sf\purple{\bigstar \: area \: of \: a \:rhombus = \frac{1}{2} \times d1 \times d2 }}}$

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Where

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• d1 denotes first diagonal of the rhombus.
• d2 denotes second diagonal of the rhombus.

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Put the values in the formula and solve.

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$\sf:\implies \: area \: of \: the \: rhombus \: = \dfrac{1}{2} \times d1 \times d2 \\ \\ \\ \sf:\implies \: 20 = \frac{1}{2} \times 8 \times d2 \\ \\ \\ \sf:\implies \: 20 = \frac{8}{2 } \times d2 \\ \\ \\ \sf:\implies \: d2 = \frac{20 \times 2}{8} \\ \\ \\ \sf:\implies \: d2 = \underline{\boxed{\sf\purple{5cm}}}\bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: other \: diagonal \: is \: \bold{5cm}.}}$