Triangle Word Problems

Find the measure of angle A in a right triangle with angles B = 30° and C = 60°.

• 75°

• 90°

• 45°

• 120°

Tags

CCSS.8.G.A.5

A right triangle has legs of length 3 and 4. Find the length of the hypotenuse using the Pythagorean Theorem.

• 5

• 7

• 8

• 6

Tags

CCSS.8.G.B.8

In a triangle ABC, angle A = 50°, side a = 8, and side b = 10. Find the measure of angle B using the Law of Sines.

• Angle B is approximately 60°

• Angle B is approximately 45°

• Angle B is approximately 39.23°

• Angle B is exactly 50°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve for angle C in a triangle with sides a = 5, b = 7, and angle A = 40° using trigonometric ratios.

• C = 36.87°

• C = 60.43°

• C = 53.13°

• C = 45.00°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A triangle has angles A = 45°, B = 60°, and side a = 6. Find the length of side b using the Law of Sines.

• 7.155

• 8.765

• 6.789

• 5.432

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If angle A = 70° and angle B = 50° in a triangle, find the measure of angle C.

• 60°

• 90°

• 40°

• 80°

Tags

CCSS.8.G.A.5

Calculate the length of side c in a triangle with sides a = 8, b = 15, and angle C = 90° using the Pythagorean Theorem.

• 20

• 17

• 25

• 10

Tags

CCSS.8.G.B.8

In a triangle with sides a = 10, b = 12, and angle A = 30°, find the measure of angle B using trigonometric ratios.

• B = 45°

• B = 75°

• B = 90°

• B = 60°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side b in a triangle with sides a = 5, c = 8, and angle B = 60° using the Law of Sines.

• 6√3

• 4√3

• 3√5

• 5√2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If side a = 9, side b = 12, and angle A = 40° in a triangle, find the measure of angle B using trigonometric ratios.

• angle B = 30.4°

• angle B = 50.6°

• angle B = 60.2°

• angle B = 45.8°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11