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Question
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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Solution
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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