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In the given figure, AD and BE are medians; then ED is equal to:

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Question

In the given figure, AD and BE are medians; then ED is equal to:

Options

  • 2AB

  • `1/2` AB

  • `1/4` AB

  • `1/8` AB

MCQ
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Solution

`bb(1/2)` AB

Explanation:

Since E and D are the midpoints of sides AC and BC, respectively, segment ED connects the midpoints of two sides of triangle ABC. By the Midpoint Theorem, this line segment is equal to half the length of the third side, making ED = `1/2` AB.

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Chapter 11: Mid-point Theorem and Its Converse [Including Intercept Theorem] - Exercise 11 (B) [Page 171]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 11 Mid-point Theorem and Its Converse [Including Intercept Theorem]
Exercise 11 (B) | Q 1. (d) | Page 171
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