Question

write area of rhombus and prove it
guys pls it's urjent​

Answer 1

Answer:

d1 = length of diagonal 1. d2 = length of diagonal 2. b = length of any side. h = height of rhombus.

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Answer 2

$\large \bf { \underline{\underline{ \red {ConCepT➻}}}} \: \\ \\ \small \bf Here \: \: in \: this \: query \: , It \: says \: to \:write \: the \: \\ \small \bf \pink{area \: of \: rhombus} \: and \: also \: to \: \pink{ prove \: }it. \\ \small \bf First \: of \: all \: the \: area \: of \: rhombus \: can \: be \: calculated \\ \small \bf \: using \: three \: ways - \\ \\ \small\ast \: \boxed{ \bf \green{ Using \: base \: and\: height }} \\ \\ \small \ast \boxed{ \bf \green{Using \: diagonals}} \\ \\ \small\ast \boxed{ \bf \green{Using \: trigonometry}} \:$

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$\large \bf { \underline{\underline{ \red {Formula➻}}}}$

$\small\bigstar \: \boxed{ \bf \red{ Using \: base \: and\: height }}\longrightarrow \sf Area=Base \times Height\\ \\ \small \bigstar \boxed{ \bf \red{Using \: diagonals}}\longrightarrow \sf Area= \frac{1}{2} \times d_{1} \times d_{2} \\ \\ \small\bigstar \boxed{ \bf \red{Using \: trigonometry}}\longrightarrow \: \sf Area= {b}^{2} \times \sin(a)$

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$\small \bf \: As \: there \: are \: 3 \: formula \: to \: find \: the \: rhombus \\ \small \bf I \: would \: just \: prove \: the \: rhombus \: having \: diagonals$

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$\large \bf { \underline{\underline{ \red {DiaGraM➻}}}}$

• In the attachment.
• It is not from any sources. Created by myself.

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$\large \bf { \underline{\underline{ \red {To \: ProVe➻}}}}$

Here

ㅤㅤABCD be a rhombus and O be the point of intersection of two diagonals where DB is a diagonal of the rhombus as $\bf d_{1}$ and AC is a diagonal of the rhombus as $\bf d_{2}$

$\bf\large \tt\blue➦ Area \: of \: rhombus = 4 \times \frac{1}{2} \times Area \: of \: ∆ \: AOB \:sq.units \\ \bf \large \tt\blue➦ Area \: of \: rhombus = 4 \times \frac{1}{2} \times d_{1} \times d_{2} \: sq.units\\ \large\boxed{\tt Or} \\ \bf\large \tt\blue➦ Area \: of \: rhombus = 4 \times \frac{1}{2} \times AO \times OB \:sq.units\\ \bf\large \tt\blue➦ Area \: of \: rhombus = 4 \times \frac{1}{2} \times \frac{1}{2} \times d_{1} \times \frac{1}{2} \times d_{2} \:sq.units \\ \bf \large \tt\blue➦ Area \: of \: rhombus = \cancel 4 \times \frac{1}{ \cancel8 {}^{2} } \times d_{1} \times d_{2}\:sq.units \\ \bf \large \tt\blue➦ Area \: of \: rhombus = \frac{1}{2} \times d_{1} \times d_{2}$

$\large \tt\blue { \underline{proved }\: }\huge✔$

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$\\ \bigstar{ \underline{ \underline \pink{ \sf★@iTzShInNy☆}}} \bigstar$