Question

In an isosceles triangle, the altitude from the vertex bisects the base.

• A. True
• B. False

Answer 1

The correct option is A True

let us take a triangle $ABC$ and draw an altitude $CD$

being an isosceles triangle

in $\Delta ACDand\Delta CDB$

$CD=CD$ (common )

$CA=CB$ ( equal opposite sides)

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

therefore : $\Delta ACDand\Delta CDB$ are congruent by ASA rule

so , $AD=DB$ by CPCT

So, its true