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In the given figure, `DE||BC`. If `DE=3 cm, BC=6 and ar (Delta ADE)=15 cm^(2)`, find the area of `Delta ABC`.

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In the given figure, `DE||BC`. If `DE=3 cm, BC=6 and ar (Delta ADE)=15 cm^(2)`, find the area of `Delta ABC`.
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Correct Answer - `10 cm^(2)`
`(ar (Delta ADE))/(ar (Delta ABC))=(DE^(2))/(BC^(2))=(3^(3))/(6^(2))=(9)/(36)=(1)/(4) [ :. Delta ADE~Delta ABC]`
`rArr ar (Delta ABC)= 4xx ar (Delta ADE)= (4xx15) cm^(2)=60 cm^(2)`
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