How do you split an isosceles triangle into 2 isosceles triangles?

Question

How do you split an isosceles triangle into 2 isosceles triangles?

Answer 1

A very interesting question. but it wouldn't be possible without changing the dimensions of the 2 equal sides.

Answer 2

You can only do it if the original triangle is an isosceles right-angled triangle. Drawing the median from the right angle to the hypotenuse will create 2 new isosceles right-angled triangles.

Answer 3

ABC is an isosceles triangle and AB = AC. If BC = 2AD( D is the mid point of BC) then ADB & ADC are isosceles triangles formed by splitting ABC.

You cannot split all isosceles triangle into two isosceles triangles.