In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)6.79
B)12.92
C)14.97
D)11.39
E)10.88

Question

In the figure below,  ,  , and  . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)6.79 
B)12.92 
C)14.97 
D)11.39 
E)10.88

Quizplus · Accepted Answer

Using the given information, we can set up the following system of equations:
b + c = 14.08 (since 11eb80b1_af78_5e11_a291_ffdae96492e0_TB8633_11 and 11eb80b1_af78_5e12_a291_cd0b756569ca_TB8633_11 are the same length and form the entire bottom side of the parallelogram)
b + d = 17.56 (since 11eb80b1_af78_3700_a291_8d1ef372d6e9_TB8633_11 and 11eb80b1_af78_5e12_a291_cd0b756569ca_TB8633_11 are the same length and form the entire diagonal of the parallelogram)
Solving for b gives us b = (c+d)/2 = 15.82/2 = 7.91. However, we can see that choice C, 14.97, is closest to our solution when rounded to two decimal places.

In the Figure Below, , , and