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Home > GC > Chapter 4 > Lesson 4.1.3 > Problem 4-26

4-26.

Use your observations from problem 4-24 to answer the following questions:

  1. Thalia did not have a tool to help her find the slope angle in the triangle below. However, she claims that the slope angle has to be more than . Do you agree with Thalia? Why?

  • An isosceles right triangle has a slope of and slope angle of . Does this triangle have a larger or smaller ratio? What does this tell us about the slope angle?

  • Yes, because the slope ratio is greater than , the angle must be greater than .

  1. Lyra was trying to find the slope ratio for the triangle below, and she says the answer is . Isiah claims that cannot be correct. Who is right? How do you know?

  • Use the same method as in part (a).

  1. Without finding the actual value, what information do you know about in the diagram below?