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In triangle ABC, D and E are mid-points of the sides BC and AC respectively. Find the length of DE. Prove that DE = 1/2AB.
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Answer:
two forces act on an object in opposite directions, the net force is the difference between the two forces. In this case, the net force is always greater than or equal to zero but less than either of the individual forces.
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Answer:
First Find the points D and E by midpoint formula.
(x₂+x₁/2 , y₂+y₁/2)
For DE=1/2AB
In ΔsCED and CAB
∠ECD=∠ACB
and the ratio of the side containing the angle is same i.e,
CD=1/2BC
⇒CD/BC=1/2
EC=1/2AC
⇒EC/AC=1/2
∴,ΔCED~ΔCAB
hence the ratio of their corresponding sides will be equal,
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