Similar Triangles And Slope

Directions: The three triangles on the line are similar. Using the digits 0 to 9 at most one time each, place a digit in each box for the legs of the right triangles.

Hint

What is true about the sides of similar triangles?
What are some ratios that are equal?

Answer

Bottom Triangle (left to right) –> 3,4
Middle Triangle (left to right)–> 12,9
Top Triangle (left to right) –> 6,8
The ratios (slopes) are 4/3=12/9=8/6

Bottom Triangle (left to right) –> 2,4
Middle Triangle (left to right)–> 10,5
Top Triangle (left to right) –> 3/6
The ratios (slopes) are 4/2=10/5=6/3

Source: Jay Sydow

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Constant of Proportionality

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2 comments

  1. 1st Triangle
    Vertical:8
    Horizontal:6
    2nd Triangle
    Vertical:12
    Horizontal:9
    3rd Triangle
    Vertical:4
    Horizontal:3

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