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Home > CCG > Chapter 5 > Lesson 5.3.5 > Problem 5-126

5-126.

A triangle with side lengths 17 and 10. A 45 degrees angle is between the two sides.Solve for the missing side lengths and angles in the triangle at right.  

This triangle has known values for (side-angle-side) so will need to be solved using the Law of Cosines.
Refer to the Math Notes box in Lesson 5.3.3 if you need help remembering the Law of Cosines.

Triangle, A B C, labeled as follows: side, A B, small letter c, side, B C, 10, side, A C, 17.

Solve for .

After finding the length of , the Law of Sines can be used to to find the measure of .
Refer to the Math Notes box in Lesson 5.3.2 for the Law of Sines.

Use the Triangle Angle Sum Theorem to find the measure of .