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Home > CCG > Chapter 4 > Lesson 4.1.2 > Problem 4-18

4-18.

Triangle K A R is similar to triangle E N C. Triangle K A R has 2 equal side lengths of 24 feet on side K, A and side A, R. Side K, R is 7 feet. Triangle E, N, C, has 2 equal side lengths of 96 feet on side E, N and side N, C.The triangles shown at right are similar.  

 

  1. What is the ratio of side length to side length ?

  2. Use a ratio to compare the perimeters of and . How is the perimeter ratio related to the side length ratio?

    In part (a), you found that the zoom factor between the two triangles is .
    Now use this information to find the perimeters of each triangle, then find the ratio between them.

  3. If you have not already done so, find the length of .