Question

3. 1) On what basis can it be said that the triangles are similar?

Answer 1

Given:

Required:

To check the similarity of triangles.

Step-by-step explanation:

In the first triangle,

`\begin{gathered} \angle c=30\degree \\ \\ \angle A=90\degree \end{gathered}`

And

`\angle B=60\degree`

In the second triangle,

`\begin{gathered} \angle D=60\degree \\ \\ \angle E=90\degree \\ \\ \angle F=30\degree \end{gathered}`

Therefore,

`\begin{gathered} \angle A=\angle E \\ \angle B=\angle D \\ \angle C=\angle F \end{gathered}`

The corresponding angles are equal.

Final Answer:

On the basis of corresponding angles, we can say that the given two triangles are similar.