Question

the area of a rombus is 180cmsquare. if one of the diagnal is 20 cm,find the length of 2nd diagnal.​

Answer 1

Answer:

Hope it helps you!!!!!!

Answer 2

$\Large{\bold{\pink{\sf{Gɪᴠᴇɴ\::}}}}$

• $\sf{Area\:of\:Rhombus\:\mapsto\:180\:cm}^{2}$
• $\sf{One\:of\:the\:Diagonal\:\mapsto\:20\:cm}$

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$\Large{\bold{\pink{\sf{Fɪɴᴅ\::}}}}$

• $\sf{Find\:there\:Second\:Diagonal}$

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$\Large{\bold{\pink{\sf{Sᴏʟᴜᴛɪᴏɴ\::}}}}$

• $\sf{Area\:of\:Rhombus\:\leadsto\:{\frac{1}{2}}\:\times\:Product\:of\:its\:Diagonals}$

• $\sf{Area\:of\:Rhombus\:\leadsto\:{\frac{1}{2}}\:\times\:d₁\:\times\:d₂}$

$\large{\blue{\sf{\therefore\:Putting\:the\:Value\:-}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{180\:=\:{\frac{1}{2}}\:\times\:20\:\times\:d₂}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{d₂\:=\:{\frac{2\:\times\:180}{20}}}$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{d₂\:=\:18\:cm}$

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$\:\:\:\:\:\:{\purple{\bold{\dag}}}\:{\underline{\sf{So,\:the\:Second\:Diagonal\:is\:{\bold{\green{\mathfrak{18\:cm}}}}}}}.$