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SSS Criteria for Congruency

In the given ...

Question

In the given figure, DE || BC, If DE = 3 cm, BC = 6 cm and ar $(Δ A D E)$ = 15 $c m^{2}$ , find the area of $Δ A B C$ .

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Solution

$D E parallel to B C s o increment A B C space almost equal to increment A D E fraction numerator a r e a space o f space increment A B C over denominator a r e a space o f space increment A D E end fraction equals open parentheses B C close parentheses squared over open parentheses D E close parentheses squared fraction numerator a r e a space o f space increment A B C space over denominator 15 end fraction equals 36 over 9 a r e a space o f space increment A B C space equals 4 cross times 15 equals 60 c m squared$

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