You are given the following quadrilateral with AB = 12.7 in, BC = 8.2 in, CD = 7 in, AD = 6.2 in, and mZA
not be drawn to scale.
A
D
B
48.2°. The diagram may
a. Draw the figure and add the lengths and angle measure to your diagram.
b. Draw the diagonal BD and label its length as z in.
c. Follow the process in the previous example to determine the following information. Hint: You will probably want to start with finding the
length x in inches, then determine m/C in degrees following the order shown below. The length x in inches is not part of the original
figure, but you need its value to complete your work.
i. z= 6.2
inches Preview
Try again. The first step is to write a² = (6.2)² + (12.7)² - 2(6.2) (12.7) cos(48.2°) and then solve for z. Also, if you enter
a trigonometric expression make sure you are using the correct form to evaluate for angle measures in degrees.?
ii. m/C=
degrees Preview
z² - (7)² - (8.2)2
*Try again. When you use the value of z from part (a), you have a triangle (ACBD) with three known side lengths. We use the
second form of the Law of Cosines to detemrine m/C. The first step is to write cos(m/C)
value of z from part (a) and solve for m/C.
=
-2. (7)(8.2)
with the