Question

Explain why the triangles are similar then find out the distance represented by x​

Answer 1

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:

$\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}$

Learn more:

Right and scalene triangles: brainly.com/question/10379190

#LearnWithBrainly