Is the statement correct: "If two sides and three angles of one triangle are equal to two sides and three angles of another triangle, then such triangles are equal"?
Provide an example of two similar triangles, two sides of one of which are equal to two sides of the other.

## Solution

Triangles with sides 8, 12, 18 and 12, 18, 27 are similar (the similarity coefficient is $2 / 3$). Therefore, their corresponding angles are equal.

Such triangles exist because $8+12=20>18$.
![](https://cdn.mathpix.com/cropped/2024_05_06_3ae27f1f0c68451d31a7g-16.jpg?height=166&width=1356&top_left_y=769&top_left_x=356)

## Answer

Incorrect.