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  1. The following two right triangles are similar.



    1. State two pairs of corresponding side lengths.


      4 and a; 6 and b

    2. What is the ratio of the blue side length to the red side length in the first triangle?




    3. What is the ratio of the blue side length to the red side length in the second triangle? Explain the reason for this.

      The two triangles are similar, so the ratios of corresponding side lengths must be equal. This means .


    4. Suppose b = 12 . What must be the length of a?