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Will Give Brainlyest!

An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the pyramids in her plan, but there is an error in the dimensions:

Which of the following changes should she make to the length of side CB to correct her error? (6 points)
Select one:
a. Change the length of side CB to 13 feet
b. Change the length of side CB to 11 feet
c. Change the length of side CB to 8 feet
d. Change the length of side CB to 8.5 feet

Will Give Brainlyest An architect planned to construct two similar stone pyramid structures in a park The figure below shows the front view of the pyramids in h class=

Respuesta :

wegnerkolmp2741o

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

good job