Question

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Answer 1

Answer:

c. Change the length of side CB to 8 feet

Step-by-step explanation:

If the figures are similar, the ratios should be the same

Take the side of the larger triangle over the same side of the smaller

PR                PQ                     RQ

----------- = --------------------= ----------------

AC                AB                      CB

7.5                5                       10

----------- = --------------------= ----------------

 6                4                        9

7.5 /6 = 1.25

5/4 = 1.25

10/9 =1.1111(repeating)

The bases are not in the right ratio.  RQ over CB = 1.25.  Since RQ = 10  and the ratio is 1.25, we can solve for CB

10/CB = 1.25

Multiply by CB on each side

10 = 1.25CB

Divide by 1.25 on each side

10/1.25 = CB

8 =CB