Prove that a diagonai of a parallelogram divides it into two triangies of equal area.
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Answer:
ar(ABC)=ar(ADC)
Step-by-step explanation:
Proof:- In triangle ABC and ADC
angleBCA=angleDAC (alternate interior
angle)
AC=AC. (Common)
angleBAC=angleDCA. (alternate interior
angle)
triangleABC congruent triangleADC
ar(ABC)=ar(ADC). (Congruent fig.
are equal in area)
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