You are given the following quadrilateral with AB
not be drawn to scale.
A
=
12.7 in, BC=8.2 in, CD = 7 in, AD = 6.2 in, and m/A =
48.2°. The diagram may
D
B
a. Draw the figure and add the lengths and angle measure to your diagram.
b. Draw the diagonal BD and label its length as 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 22 = (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
*Try again. When you use the value of x from part (a), you have a triangle (ACBD) with three known side lengths. We use the
z² - (7)² - (8.2)2
second form of the Law of Cosines to detemrine m/C. The first step is to write cos(m/C) =
with the
-2-(7)(8.2)
value of z from part (a) and solve for m/C.