Are two isosceles triangles always similar? Are two equilateral triangles always similar? Give reasons for your answers to both questions.
Answers
Answer:
No two isosceles triangle can't be always similar while two equilateral triangles are always similar. .
Step-by-step explanation:
WHAT IS SIMILARITY OF TRIANGLES?
SIMILAR TRIANGLES are those triangles whose corresponding angles are equal and its sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size.
CASE OF SCALENE,ISOSCELES,EQUILATERAL :-
1.SCALENE
This triangle non of the sides or angles are equal. So two scalene triangles can or can't be similar. It depends on ratio of sides of both the triangles.
2.ISOSCELES
This triangle only two sides and angles are equal but in respond to another triangle it maynot be always similar.
3.EQUILATERAL
This triangle all the sides and angle are equal i.e. 60° so two equilateral triangles must be similar.