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Fill the Blank in the Following So that the Following Statement is True. If Altitudes Ce and Bf of a Triangle Abc Are Equal, Then Ab = .... - Mathematics

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प्रश्न

Fill the blank in the following so that the following statement is true. 

If altitudes CE and BF of a triangle ABC are equal, then AB = .... 

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उत्तर

If altitudes CE and BF of a triangle ABC are equal, then
AB A C 
Reason: From RHS congruence criterionΔ BEC ≅CFB ⇒∠EBC = ∠FCB⇒∠ABC = ∠ACB⇒ AC=AB
[ ∵Sides opposite to equal angels are equal]   

 

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अध्याय 12: Congruent Triangles - Exercise 12.5 [पृष्ठ ६२]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.5 | Q 6.5 | पृष्ठ ६२

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