Find the lengths of the diagonals.
Answer to Problem 17WE
The lengths of the diagonals are 3.86 and 4.33
Explanation of Solution
Formula Used:
Law of Cosine :
Law of Sine:
Calculation:
Represent the situation and solve :
Extend the two legs of the trapezoid to meet at E.
So,
So,
In
Now, use Law of Sine in triangle EBC:
Now, use Law of Sine in triangle EAD:
Use Law of Cosine in triangle AEC:
Use Law of Cosine in triangle DEB:
So, the lengths of the diagonals are 3.86 and 4.33
Chapter 12 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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