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Fofino [41]
3 years ago
13

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

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

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}

<h2>Learn more:</h2>

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

#LearnWithBrainly

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