Question

in triangle abc d and e are the midpoint of ab and ac de=4 then find the length of bc

Answer 1

the value of BC is 2cm
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Answer 2

Answer:

ABC is a triangle. D and E are the mid points of AB and AC. BC is produced to P. Prove that triangle DEP is 1/4th of triangle ABC.

Step-by-step explanation:

Since D and E are the mid points of AB and AC, DE will be parallel and half of BC. Draw DF parallel to AC, F being on the line BC. Now within triangle ABC, there are 4 smaller triangles ADE, BDF, CEF and DEF all of equal area and 1/4th of the parent triangle ABC. Triangle DEP has the same base and the same altitude as triangle DEF, so its area is also 1/4th of the parent triangle ABC.