Non-Right Triangles

5.10: Solving Non-Right Triangles

Objective: Find missing angles and sides in oblique triangles, and use the Law of Sines and Cosines to solve real world problems

The Law of Sines

Ex 1: Solve for x

Multiple Choice

Solve for x.

• 2.01

• 6.28

• 30.74

• 5.67

Fill in the Blank

Solve for x. Round to the nearest hundredth.

Area of Non-Right Triangles

Multiple Choice

Find the area of the triangle.

• 29.58

• 59.15

• 118.21

• 18.90

Fill in the Blank

Find the area of a triangular lot with sides 31, 52, 28ft. Numeric answer only, round to nearest tenth.

Law of Cosines

Ex 1: Find x

• Step 1: Set up Law of Cosines

• Step 2: Solve for x

Fill in the Blank

Find x.

Round to the nearest whole number

Fill in the Blank

Find x. Round to the nearest hundredth

Applications! Woo!

• A railroad track crosses a highway at an angle of 77 degrees. A locomotive is 40 yards from the intersection when a car is 50 yards from the crossing. Fine the distance between the two vehicles?