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Question
In the given Δ ABC, M and N are mid-points of AB and AC respectively. D is any point on the base BC. Which of the following relationships will always hold true?
In the given Δ ABC, M and N are mid-points of AB and AC respectively. D is any point on the base BC. Which of the following relationships will always hold true?
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Solution
The correct option is C AE = ED
Look at the figure carefully.
Since M & N are mid - points of AB & AC, MN || BC (according to mid - point theorem).
⇒ Now, consider AB, AD, AC. They all act like a transversal.
∴ By equal intercept theorem, AE = ED.
AE = ED
Look at the figure carefully.
Since M & N are mid - points of AB & AC, MN || BC (according to mid - point theorem).
⇒ Now, consider AB, AD, AC. They all act like a transversal.
∴ By equal intercept theorem, AE = ED.
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