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Sides of the Triangle Are 7 Cm, 24 Cm, and 25 Cm. Determine Whether the Triangle is a Right-angled Triangle Or Not.

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प्रश्न

Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not. 

योग
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उत्तर

The longest side is 25 cm. 

∴ (25)2 = 625                                                          ....(i)

  Now, sum of the squares of the other two sides will be 

(7)2 + (24)2 = 49 + 576

                   = 625                                                   ....(ii)

∴ (25)2 = (7)2 + (24)2                                                  .....[ From (i) and (ii)]

Yes, the given sides form a right angled triangle .  ......[By converse of pythagoras theorem]

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Converse of Pythagoras Theorem
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2013-2014 (October)

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