Question 1034938
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In a triangle ABC DE||BC area of triangle ADE=16cm² DE= 4cm BC=6cm. Find area of triangle ABC
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The triangles ABC and ADE are similar with the corresponding sides ratio of {{{4/6}}} = {{{2/3}}}.

Then the areas ratio is {{{(2/3)^2}}} = {{{4/9}}}.

Hence, the area of the triangle ABC is {{{9/4}}} times the area of the triangle ADE, i.e. {{{(9/4)*16}}} = 36 {{{cm^2}}}.
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