Question

Q : D and E are the midpoints of side AB and AC of a triangle ABC, respectively and BC = 6 cm. If DE || BC, then the length (in cm) of DE is:

(a) 2.5

(b) 3

(c) 5

(d) 6​

Answer 1

Answer:

(b) 3

Explanation: By midpoint theorem,

DE=½ BC

DE = ½ of 6

DE=3 cm

Answer 2

Answer: the answer is 3cm

Step-by-step explanation:

DE can't be perpendicular it can be parallel to BC.

In triangleADE and triangle ABC.

DE ll BC

Angle ADE =Angle ABC...(corresponding angles.)

Angle AED =Angle ACB...(corresponding angles.)

By AA test of similarity both triangles are similar.

But,AD=1/2 × AB...(D is the midpoint)

DE=1/2 BC...(c.s.s.t.)

=1/2×6

=3cm.

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