What is the best way for solving the question from class 9th ncert math of Areas of Parallelograms and Triangles chapter of Ncert of exercise 9.3of math. What is the best way for solving this question please guide me the best way for solving this question. D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that(iii) ar (BDEF) = ½ ar(ABC)
AnilSinghBoraGuru
D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that(iii) ar (BDEF) = ½ ar(ABC) Q.5(3)
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(iii) Area (parallelogram BDEF) = ar(ΔDEF) +ar(ΔBDE)
⇒ ar(parallelogram BDEF) = ar(ΔDEF) +ar(ΔDEF)
⇒ ar(parallelogram BDEF) = 2× ar(ΔDEF)
⇒ ar(parallelogram BDEF) = 2× ¼ ar(ΔABC)
⇒ ar(parallelogram BDEF) = ½ ar(ΔABC)