Solving Triangles Worksheet

Solve each triangle: 1) Given a triangle with sides 26 and angles of 29° and 50°. Find the missing sides and angles.

• 101° and sides 41 and 53

• Angle 101° and sides 42 and 53

• Angle 101° and sides 53 and 40

• Angle 41° and sides 101 and 53

Solve each triangle: 2) Given a triangle with sides 20, and angles of 20° and 62°. Find the missing sides and angles.

• 15°, sides 98,and 45

• You can only use the Pythagorean theorem to solve for the missing sides and angles.

• 98°, 45 and 15

• 45°, 98 and 15

Given a triangle with sides 25 and an angles of 24° and 73°. Find the missing sides and angles.

• Angle 83° and sides 12 and 24

• Angle 83⁼, with sides 10 and 24

• The triangle cannot be solved with the given information.

• Angle 24⁰, with sides 83 and 10

Given a triangle with a side 100, and angles of 21° and 140°. Find the missing sides and angles.

• sides 91, 179 and angle 19°

• Sides 91 and 79 angle 119°

• Sides 19 and 191, angle 79°

• The triangle is a right triangle, so use SOHCAHTOA to solve for the missing sides and angles.

Find the perimeter of ΔDEF. Given triangle DEF with DE = 16, angle D = 40°, angle F = 19°.

• Angle 32° with sides 121 and 42

• Angle 121° with sides 32 and 42

• Angle 121° with sides 30 and 42

• Angle 32° with sides 30 and 42

Given a triangle with sides 44, 40, and an angle of 63°, solve for the unknown sides and angles.

• Angles 54° and 63° with side 40

• Angle 54° and 63° with side 44

• angles 54° and 63° with side 43

• Angles 54° and 64° with side 44

Given a triangle with sides 85 and 105 and an angle of 34°, solve for the unknown angles.

• angles 144° and sides 44 and 101

• Angles 44° and 102° with side 121

• Angles 44° and 101° with sides 144

• Angles 44° and 102°

  side 144

Given a triangle with sides 125, and 150, and an angle of 28° solve for the unknown angles.

• Angles 129° and 23° with side 118

• Angles 129° and 23° with side 48

• angles 129° and 23° with side 248

• angles 129° and 23° with side 223

Given a triangle with sides 90, 38, and an angle of 125,° solve for the unknown angles.

• Angles 35° and 20° with side 63

• Angles 35° and 63° with side 20

• Angle 20° and 63° with side 35

• Anges 33° and 20° with side 63

Find the area of circle C by using the Law of Sines to find the radius. (Hint, the triangle is Isosceles) What kind of triangle is ABC?

• 150π
• 306.25π
• 250π
• 529π