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Does a altitude of a triangle divides the triangle into two equal halves??​

1 Answer

6 votes

This only happens if the triangle is isosceles.

Suppose you have triangle ABC, with AB=AC. In this case, the altitude AH bisects both the base BC and the angle BAC, so triangle ABH and ACH are congruent becase they have AH in common, BH=CH and AB=BC because the triangle is isosceles.

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User Matt Coubrough
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