Mathematics
In the given figure, l // m // n and D is mid-point of CE. If AE = 12.6 cm, then BD is :
12.6 cm
25.2 cm
6.3 cm
18.9 cm
Mid-point Theorem
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Answer
By mid-point theorem,
The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.
By converse of mid-point theorem,
The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side.
In △ AEC,
Given,
⇒ m // n
∴ BD // AE.
D is mid-point of CE.
∴ B is the mid-point of AC. (By converse of mid-point theorem)
Also,
⇒ BD = = 6.3 cm
Hence, Option 3 is the correct option.
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