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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Law of sines and cosines

Grade: 10-a Lesson: S3-L7

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	If A = 7, B = 5, C = x, and a = 60°. Find the x value. $1$	A) 8 B) \$ \sqrt 3 \$ C) 5 D) 12
2	If A = 21, B = 19, and C = 16. Find the value of θ. $2$	A) 30° B) 60° C) 45° D) 120°
3	A triangle with sides of 6, 8, and 10 units. Find the angle between the sides of 6 and 8 units.	A) 45° B) 3° C) 90° D) 35°
4	In triangle PQR, angle P measures 30°, angle Q measures 90°, and side PR measures 9 m. Find the lengths of sides PQ and QR.	A) PQ = 2.19, QR = 10.35 B) PQ = 3.31, QR = 7.36 C) PQ = 5.34, QR = 11.37 D) PQ = 5.19, QR = 10.38
5	Solve triangle ABC, given b = \$2\sqrt2\$, c = \$2\sqrt3\$, and C = 60°. Find the angle B.	A) 30° B) 105° C) 75° D) 45°
6	In triangle GHI, angle G measures 45°, angle H measures 90°, and side GI measures 12 m. Find the lengths of sides GH and HI.	A) \$ GH = 6\sqrt2m and HI = 4\sqrt2m \$ B) \$GH = 4\sqrt2m and HI = 4\sqrt2m \$ C) \$GH = 6\sqrt2m and HI = 6\sqrt2m \$ D) \$GH = 4\sqrt2m and HI = 6\sqrt2m\$
7	In triangle ABC, angle A measures 60°, side a measures \$ 8\sqrt3 \$ units, and side b measures 8 units. Find the measure of angle B.	A) 60° B) 30° C) 90° D) 45°
8	In triangle PQR, ∠P = 30°, ∠Q = 60°, and side p = 8 units. Find the lengths of sides q and r.	A) q = \$8\sqrt3\$ units and r = 16 units B) q = \$8\sqrt3\$ units and r = \$8\sqrt3\$ units C) q = 16 units and r = \$8\sqrt3\$ units D) q = 16 units and r = 16 units
9	Solve triangle UVW, given u = 10, v = 20, and w = 30. Find the angle U , V and W?	A) A = 180°, B = 180° and C = 180° B) A = 0°, B = 0° and C = 180° C) A = 0°, B = 10° and C = 180° D) A = 0°, B = 360° and C = 180°
10	Triangle MNO has side lengths MN = 16 units, NO = 18 units, and MO = 20 units. Find the measure of angle M.	A) 66.12° B) 76.12° C) 66.42° D) 76.52°

Problem Id

Problem

Options

If A = 7, B = 5, C = x, and a = 60°. Find the x value.

$1$

A) 8

B) \$ \sqrt 3 \$

C) 5

D) 12

If A = 21, B = 19, and C = 16. Find the value of θ.

$2$

A) 30°

B) 60°

C) 45°

D) 120°

A triangle with sides of 6, 8, and 10 units. Find the angle between the sides of 6 and 8 units.

A) 45°

B) 3°

C) 90°

D) 35°

In triangle PQR, angle P measures 30°, angle Q measures 90°, and side PR measures 9 m. Find the lengths of sides PQ and QR.

A) PQ = 2.19, QR = 10.35

B) PQ = 3.31, QR = 7.36

C) PQ = 5.34, QR = 11.37

D) PQ = 5.19, QR = 10.38

Solve triangle ABC, given b = \$2\sqrt2\$, c = \$2\sqrt3\$, and C = 60°. Find the angle B.

A) 30°

B) 105°

C) 75°

D) 45°

In triangle GHI, angle G measures 45°, angle H measures 90°, and side GI measures 12 m. Find the lengths of sides GH and HI.

A) \$ GH = 6\sqrt2m and HI = 4\sqrt2m \$

B) \$GH = 4\sqrt2m and HI = 4\sqrt2m \$

C) \$GH = 6\sqrt2m and HI = 6\sqrt2m \$

D) \$GH = 4\sqrt2m and HI = 6\sqrt2m\$

In triangle ABC, angle A measures 60°, side a measures \$ 8\sqrt3 \$ units, and side b measures 8 units. Find the measure of angle B.

A) 60°

B) 30°

C) 90°

D) 45°

In triangle PQR, ∠P = 30°, ∠Q = 60°, and side p = 8 units. Find the lengths of sides q and r.

A) q = \$8\sqrt3\$ units and r = 16 units

B) q = \$8\sqrt3\$ units and r = \$8\sqrt3\$ units

C) q = 16 units and r = \$8\sqrt3\$ units

D) q = 16 units and r = 16 units

Solve triangle UVW, given u = 10, v = 20, and w = 30. Find the angle U , V and W?

A) A = 180°, B = 180° and C = 180°

B) A = 0°, B = 0° and C = 180°

C) A = 0°, B = 10° and C = 180°

D) A = 0°, B = 360° and C = 180°

Triangle MNO has side lengths MN = 16 units, NO = 18 units, and MO = 20 units. Find the measure of angle M.

A) 66.12°

B) 76.12°

C) 66.42°

D) 76.52°