To Prove: The altitude to the base of an isosceles triangle divides the triangle into two congruent
Explanation of Solution
Given information : We are given an isosceles triangle and its altitude.
Suppose ABC is the given isosceles triangle with AB and AC as its legs and AD as its altitude as shown in figure.
Concept used : RHS (Right
Proof :
As per the question and drawn sketch we have ABC as an isosceles triangle where
Considering
So, using RHS (Right angle − Hypotenuse- Side) Congruency rule we can say that:
Or
Which proves the required result.
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