The altitude to the base of an isosceles triangle bisects the base. Slved theorm
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The strategy for this and for the remaining similar problems (showing that the altitude to the base bisects the apex angle, showing that the angle bisector is perpendicular to the base, etc...) will be the same.
We already have a pair of equal edges (the legs, per the definition of an isosceles triangle) and a pair of congruent angles (per the Base Angles Theorem). So we will find or construct another pair of congruent angles or another pair of equal sides, and use one of the triangle congruency postulates to show the two triangles are congruent.
Step-by-step explanation:
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