Question

the area of a rhombus is 120sq cm. if one diagonal is 20 cm find the other diagonal.
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Answer 1

Answer:

12 cm

Step-by-step explanation:

Answer 2

$\underline{\boxed{\bold{ \bigstar \; Question \; \bigstar }}}$

➠ the area of a rhombus is 120sq cm. If one diagonal is 20 cm , then find the other diagonal.

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$\underline{\boxed{\bold{ \bigstar \; Important \; Information \; \bigstar }}}$  

❏ Rhombus is a parallelogram which has all side equal in length and parallel.

❏ It may/may not have diagonals of equal length but they intersect at right angle.

❏ Area of a rhombus is given by :

$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed {\bold{\red{:\longmapsto \; Area = \frac{1}{2}[d_1 \times d_2] }}}$

where ,

• d₁ = Length of first diagonal.
• d₂ = length of second diagonal.

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$\underline{\boxed{\bold{ \bigstar \; Given \; \bigstar }}}$  

❏  Area of rhombus = 120 cm²

❏ Length of one diagonal = d₁ = 20 cm

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$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

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❖ Here is your answer :)

$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed {\bold{\red{:\longmapsto \; Area = \frac{1}{2}[d_1 \times d_2] }}} \; \; \star$

$:\implies \; 120 = \dfrac{1}{2}[20 \times d_2]$

$:\implies \; 120 = 10 \times d_2$

$:\implies \; 10d_2 = 120$

$:\implies \; d_2 = \dfrac{120}{10}$

$\boxed { \bold { \orange {:\implies \; d_2 =12 \; cm} } }$

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$\boxed{\boxed{\bold{\therefore Length \; of \; second \; diagonal = 12 \; cm}}}$

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Hope this helps u.../

【Brainly Advisor】