Questions and Answers
What is the value of x in the diagram?
2
What is the value of x in the diagram?
15
What similarity statement can you write relating the three triangles in the diagram?
Triangle EAK ~ Triangle AGK ~ Triangle EGA
What is the geometric mean of 5 and 12?
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What are the values of x and y?
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Kate has a kite with the dimensions shown below. What is the value of x?
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Study Notes
Proportions in Triangles Practice
- In a given triangle diagram, the value of x is determined to be 2.
- For another triangle, the value of x is found to be 15.
- A similarity statement for related triangles can be expressed as Triangle EAK ~ Triangle AGK ~ Triangle EGA.
- The geometric mean of the numbers 5 and 12 is calculated as ( \sqrt{60} ) or approximately 7.75.
- In a specific problem involving two variables, x is calculated to be ( \frac{8}{7} ) and y as ( \frac{4}{21} ).
- Regarding a kite's dimensions, the value of x is established as ( \frac{5}{11} ) inches.
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Description
Test your understanding of proportions in triangles with this practice quiz. Explore similarity statements, find geometric means, and calculate values for different geometric shapes. Perfect for students looking to reinforce their knowledge of triangle properties and proportions.
