Area of an ASA Triangle If two angles and the included side are given, the third angle is easy to find. Use the Law of Sines to show that the area of a triangle with side and angles and is
To show: That the area of a triangle with side a and angles , and is
Answer to Problem 25AYU
Solution:
The area of a triangle with side a and angles , and is
Explanation of Solution
Given:
If two angles and the included side are given, the third angle is easy to find. Use the Law of Sines.
Formula used:
Proof:
-----(1)
-----(2)
Substituting (2) in (1) we get,
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