write the following equation in standard form
Answers
Step-by-step explanation:
Given :
Area of Rhombus is 32 cm² .Length of one diagonal is 8 cm .
To Find :
Length of other Diagonal .
Solution :
\longmapsto\tt{{d}_{1}=8\:cm}⟼d1=8cm
Using Formula :
\longmapsto\tt\boxed{Area\:of\:Rhombus=\dfrac{1}{2}\times{{d}_{1}}\times{{d}_{2}}}⟼AreaofRhombus=21×d1×d2
Putting Values :
\longmapsto\tt{32=\dfrac{1}{{\not{2}}}\times{{\not{8}}}\times{{d}_{2}}}⟼32=21×8×d2
\longmapsto\tt{32=4\:{d}_{2}}⟼32=4d2
\longmapsto\tt{{d}_{2}=\cancel\dfrac{32}{4}}⟼d2=432
\longmapsto\tt\bf{{d}_{2}=8\:cm}⟼d2=8cm
So , The Length of other diagonal of the Rhombus is 8 cm .
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VERIFICATION :
\longmapsto\tt{32=\dfrac{1}{2}\times{{d}_{1}}\times{{d}_{2}}}⟼32=21×d1×d2
\longmapsto\tt\boxed{32=\dfrac{1}{2}\times{8}\times{8}}⟼32=21×8×8
\longmapsto\tt{32=\cancel\dfrac{64}{2}}⟼32=264
\longmapsto\tt\bf{32=32}⟼32=32