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Maharashtra State BoardSSC (English Medium) 9th Standard

Draw a labelled figure showing information in the following statement and write the antecedent and the consequent. If the altitudes drawn on two sides of a triangle are congruent then those two sides - Geometry

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Question

Draw a labelled figure showing information in the following statement and write the antecedent and the consequent.

If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent.

Sum

Solution

Antecedent: The altitudes drawn on two sides of a triangle are congruent.

Consequent: Those two sides are congruent.

Here, BL and CM are the altitudes drawn on two sides AC and AB respectively of ∆ABC and are congruent, so side AB is congruent to side AC.

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Proofs
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Chapter 1: Basic Concepts in Geometry - Problem set 1 [Page 12]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 1 Basic Concepts in Geometry
Problem set 1 | Q 10. (iii) | Page 12
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