Question

# What is the area of a rhombus on which one side measures 10 cm and the diagonal measures 12 cm?

Solution

## Rhombus $$ABCD$$$$AB=10cm$$$$BC=10cm$$all sides of rhombus are equal.Diagonal $$AC=12cm$$So area of (tri $$ABC$$) by herini formula.$$=\sqrt { s\left( s-a \right) \left( s-b \right) \left( s-c \right) }$$ ,  $$s$$ is semi perimeter & $$a,b,c$$ sides of triangles$$s-\dfrac { 32 }{ 2 } =16cm$$Area $$=\sqrt { 16\left( 16-10 \right) \left( 16-10 \right) \left( 16-12 \right) }$$Area $$=\sqrt { 16\times 6\times 6\times 4 }$$Area $$=48{ cm }^{ 2 }$$Area (Rhombus $$ABCD$$) $$=48\times 2=96$$ $${ cm }^{ 2 }$$.Mathematics

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