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Home > CCG > Chapter 4 > Lesson 4.2.5 > Problem 4-118


Two right triangles connected side by side with one side longer than the second. The right triangle A, D, B, on the left has a bottom leg of 12 and a hypotenuse of 15. Angle A is marked with a tick mark. Angle B is 90 degrees. The right triangle E, B, C, has a bottom leg of 9. Angle E is marked with a tick mark. Side B, D is vertical and connected to B, E, though E is higher than D.Examine the diagram at right. If passes through point , then answer the questions below.  

  1. Are the triangles similar? If so, make a flowchart justifying your answer.

    What do the tick marks on the angles mean? What is ? How can these help you determine if the triangles are similar?

  2. Are the triangles congruent? Explain how you know.

    Use the Pythagorean Theorem to calculate the length of .