Proportions in Triangles Practice

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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?

<p>2√15</p> Signup and view all the answers

What are the values of x and y?

<p>x = 8√7, y = 4√21</p> Signup and view all the answers

Kate has a kite with the dimensions shown below. What is the value of x?

<p>5√11 in.</p> Signup and view all the answers

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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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