Question

In a isosceles triangle , prove that the altitude from the vertex bisects the base.

Answer 1

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Answer 2

Step-by-step explanation:

let us take a triangle ABC and draw an altitude AD

being an isosceles triangle

in tri ACD and tri CDB

CD =CD (common )

CA = CB ( equal opposite sides)

angle A = angle B ( angle opposite to opposite sides are also equal )

therefore : tri ACD and CDB are congruent by ASA rule

so , AD = DB by CPCT