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In the given figure, ABCD, DCFE and ABFE are parallelogram. Show that ar(ΔADE) = ar(ΔBCF). |
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Answer» given FIGURE, ABCD, DCFE and ABFE are parallelogram. Show that ar(ΔADE) = ar(ΔBCF) Given:In the given figure, ABCD, DCFE and ABFE are parallelogram To find:Show that ar(ΔADE) = ar(ΔBCF) Solution:☃️ SINCE ABCD a parallelogram, therefore SIDES AD and BC are equal.☃️ Since, DCFE is also a parallelogram, therefore sides DE and FC are equal☃️ Since, ABFE is also a parallelogram, therefore sides AE and BF are equal.So, ∆ ADE and ∆ BCF are congruent by S-S-S congruency rule. .°. Corresponding angles are equal in both trianglesHence, the areas will be equal.Therefore, ar(ΔADE) = ar(ΔBCF)_________________________ |
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