Question

The area of a rhombus is double the area of triangle which is 480sq.m if one diagonal of rhombus is 20m find the length of other diagonal

Answer 1

Step-by-step explanation:

Area of triangle=480 sq m

So area of rombus=2×480=960 sq m

One diagonal=20 m

Other diagonal=?

Area of rombus=1/2×one diagonal×second diagonal

or 960=1/2×20×Second diagonal

or 960×2/20=Second diagonal

or 96=Second diagonal

So length of other diagonal=96 m

Answer 2

Answer:

96m

Step-by-step explanation:

$\implies$ $\sf{A\:of\: Triangle=480sq.m }$

$\implies$ $\sf{A\:of\:Rhombus=2×480sq.m }$

$\implies$ $\sf{A\:of\:Rhombus=960sq.m }$

Area of Rhombus :

$\implies$ $\sf{A={\Large\frac{d_{1}×d_{2}}{2}} }$

$\implies$ $\sf{960={\Large\frac{20×d_{2}}{2}} }$

$\implies$ $\sf{960×2=20×d_{2} }$

$\implies$ $\sf{d_{2}={\Large\frac{960×2}{20}} }$

$\implies$ $\boxed{\sf{d_{2}=96m} }$

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