Question

Triangle ABC is an isosceles triangle with AB = AC and AD is altitude of the triangle. Prove that AD is also a median of the triangle.​

Answer 1

Answer:

ABC is an isosceles triangle

AB=AC

AD is altitude

To show: AD is a median

Proof:

In triangle ADB and triangle ADC

angle ADB=angle ADC each 90

AB=AC given

AD=AD common

therefore,ADB=ADC-----RHS

BD=CD------cpct

D is midpoint of BC

so,AD is median.