Question

The triangles shown are similar.

   The triangles shown are similar.

College Algebra

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 12

Instant Answer

Solved by Expert Sarah Parrigin

02/18/2023

Step 1

However, this is not enough information to determine if the triangles are similar. We need to know if all three angles are the same in both triangles. Show more…

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The triangles shown are similar.

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Key Concepts

Proportionality of Side Lengths

The corresponding sides of similar triangles have lengths that are in the same ratio. This constant ratio, often referred to as the scale factor, allows for the determination of unknown side lengths when at least one side length from each triangle is known.

Similar Triangles

Similar triangles are triangles that have the same shape but may differ in size. This means that their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Corresponding Angles

In similar triangles, each angle in one triangle has an equivalent angle in the other triangle. These equal pairs of angles ensure that the triangles have the same shape and are crucial for establishing similarity.

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