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Home > CCG > Chapter 4 > Lesson 4.2.4 > Problem 4-99

4-99.

Based on the measurements provided for each triangle below, decide if the angle must be more than, less than, or equal to . Assume the diagram is not drawn to scale. Show how you know.   

  1. A right triangle with a base of 4 and height of 3. Angle theta is opposite the side of 3.

    Think about what the slope ratio must be for the angle to be .

  1. A right triangle with a leg of 18 and hypotenuse of 18 square root 2. Angle theta is opposite the unknown side.

    Use the Pythagorean Theorem to solve for the missing leg. What does this length tell you about the angle's measure?

  1. A right triangle with legs 2 and 8. Angle theta opposite the side that is 8.

    Use the same method as in part (a).

    More than