Question

Fill in the blanks with similar /not similar
(iii) All isosceles triangles are________

Answer 1

Let us assume two triangles $△ABC$ and $△DEF$

In isoscles $△ABC$ , $AB=AC$

Similarly, in isosceles $△DEF$, $DE=DF$

Now,

$\frac{DE}{AB}=2$

$\frac{DF}{AC}=2$

$\frac{EF}{BC}=3$

So,

$\frac{DE}{AB}=\frac{DF}{AC}\ne \frac{EF}{BC}$

So, sides are not in same ratio

Hence, isosceles triangles are not similar.