Question

in a triangle ABC,D and Eare mid points of the sides respectively. Through E straight line is drawn parallel to AB to meet B
C at F​

Answer 1

Answer:

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Explanation:

In triangle ABC; D and E are mid-points of the sides AB and AC respectively. Through E, a straight line is drawn parallel to AB to meet BC at F. Quadrilateral BDEF is a parallelogram.If AB=16 cm, AC=12cm and BC=18 cm, find the perimeter of the parallelogram BDEF.

A

36 cm

B

44 cm

C

34 cm

D

54 cm

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ANSWER

Given: D and F are mid points of AB and AC respectively.

Hence, by mid point theorem, DF∥BC

Also, given BD∥EF

Since, opposite sides are parallel to each other. Hence, BDEF is a parallelogram

Perimeter of BDEF = 2(BD+BF) (Opposite sides of parallelogram are equal)

Perimeter of BDEF = AB+BC (D and F are mid points of AB and BC respectively)

Perimeter of BDEF = 16+18

Perimeter of BDEF = 34 cm

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