You are playing a game called ‘‘Over the Line’’, where you stand at one corner of a triangle and hit a ball. The field looks like this:
Points are scored by hitting the ball so that it lands beyond the first line in the triangle, but before the second line.
Finding the Sides of an Oblique Triangle
This lesson takes ideas that have only been applied to right triangles and interprets them so that they can be used for any type of triangle.
One case where we can use the Law of Cosines is when we know two sides and the included angle in a triangle (SAS) and want to find the third side.
Solving for Unknown Values
In order to find the distance from the sink to the refrigerator, we need to find
No, this triangle does not conform to the definition of a work triangle. The sink and the refrigerator are too far apart by 0.4 feet.Solve for j
Earlier, you were asked to calculate the length of the line you have to hit the ball past to score.
- State the Law of Cosines.
For each triangle below, state the values of a, b, and C.
Now, for each triangle, solve for the missing side using the Law of Cosines.
- Prove that the Law of Cosines is equivalent to the Pythagorean Theorem for all right triangles.
To see the Review answers, open this PDF file and look for section 5.1.