Theorem 8.10 : The line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side.
Text Solution
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In quadrilateral `EBCD`
`ED||BC` (given)
`EB||CD`
Since both pairs of opposite sides are parallel, `EBCD is parallelogram`
Since opposite sides of parallelogram are equal,
`EB=DC`
But, `E` is midpoint of `AB`,
...
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