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More Lessons for Grade 8

Math Worksheets

Examples, solutions, videos, worksheets, stories, and lessons to help Grade 8 students learn about solving problems using similar triangles.

**How to solve problems that involve similar triangles?**

1. Sketch a diagram of the problem, identifying the similar triangles.

2. Set up the proportion.

3. Cross multiply.

4. Divide.

**Word Problems with Similar Triangles and Proportions**

Examples:

1. Two ladders are leaning against a wall at the same angle as shown. How long is the shorter ladder?

2. Campsites R and S are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the 2 campsites?
**Similarity Word Problems **

Use the properties of similar triangles to find the missing side lengths of triangles of a word problem.

Example:

Raul is 6 feet tall, and he notices that he casts a shadow that's 5 feet long. He then measures that the shadow cast by his scholl building is 30 feet long. How tall is the building?

**Applying Similar Triangles part 1**

Setup prove and solve similar triangles
**Applying Similar Triangles part 2**

Setup prove and solve similar triangles

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 8

Math Worksheets

Examples, solutions, videos, worksheets, stories, and lessons to help Grade 8 students learn about solving problems using similar triangles.

1. Sketch a diagram of the problem, identifying the similar triangles.

2. Set up the proportion.

3. Cross multiply.

4. Divide.

Examples:

1. Two ladders are leaning against a wall at the same angle as shown. How long is the shorter ladder?

2. Campsites R and S are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the 2 campsites?

Use the properties of similar triangles to find the missing side lengths of triangles of a word problem.

Example:

Raul is 6 feet tall, and he notices that he casts a shadow that's 5 feet long. He then measures that the shadow cast by his scholl building is 30 feet long. How tall is the building?

Setup prove and solve similar triangles

Setup prove and solve similar triangles

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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