Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.
Explanation:
Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:
- Corresponding angles are congruent
- Corresponding sides are in proportion
Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:
[tex]\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}[/tex]
Learn more:
Right and scalene triangles: https://brainly.com/question/10379190
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