Q21 of 31 Page 232

D is the midpoint of side BC of triangle ABC. E is the midpoint of side BD and O is the midpoint of AE; area of triangular field BOE is


As D is midpoint of BC


AD median divides triangle ABC in 2 equal parts


Area of triangle ABD = × Area of triangle ABC


As E is midpoint of BD


AE median divides triangle ABD in 2 equal parts


Area of triangle ABE = × Area of triangle ABD


= × × Area of triangle ABC


= × Area of triangle ABC


As O is midpoint of AE


AO median divides triangle ABE in 2 equal parts


Area of triangle BOE = × Area of triangle ABE


= × × Area of triangle ABC


= × Area of triangle ABC

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DE is perpendicular on side AB from point D of parallelogram ABCD and BF is perpendicular on side AD from the point B; if AB = 10 cm, AD = 8 cm and DE = 6 cm, let us write how much length of BF is