1. In the following figure, ABCD is a square whose each side is 10cm long. Mangles AEC and AEFC are congruent. Point B’ is the mid-point of side EC. Find the area of AEFC (in sq. cm).
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By: anil on 05 May 2019 01.36 am
BC=10cm and AC=10cm
$$ herefore$$ EC=20cm
Area of $$ riangle$$ AEC will be equal to Area of $$ riangle$$ AEC.
Area of $$ riangle$$ AEC = $$frac{1}{2} imes$$ EC $$ imes$$ AB = $$frac{1}{2} imes$$ 20 $$ imes$$ 10 = 100
Area of AEFC= $$2 imes$$ Area of $$ riangle$$ AEC = 2$$ imes$$ 100 = 200
Hence Option E is the correct answer.
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$$ herefore$$ EC=20cm
Area of $$ riangle$$ AEC will be equal to Area of $$ riangle$$ AEC.
Area of $$ riangle$$ AEC = $$frac{1}{2} imes$$ EC $$ imes$$ AB = $$frac{1}{2} imes$$ 20 $$ imes$$ 10 = 100
Area of AEFC= $$2 imes$$ Area of $$ riangle$$ AEC = 2$$ imes$$ 100 = 200
Hence Option E is the correct answer.