in triangle ABC , D and E are the mid points of the sides BC and AC respectively. find the length of DE . prove that DE =1/2 AB
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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,
DE=1/2AB
Cheers and mark it as brainliest!!
(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,
DE=1/2AB
Cheers and mark it as brainliest!!
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