**Option 1.**

1. Find the unknown elements of triangle ABC if: ∠A = 40°, ∠C = 75°, BC = 17 cm. Use the sine theorem to solve the problem.

2. Find the unknown elements of triangle ABC if: AB = 4 cm, BC = 5 cm, ∠B = 110°. Use the cosine theorem to solve the problem.

3. Find the area of triangle ABC if: BC = 4.125 m, ∠B = 44°, ∠C = 72°.

**Option 2**

1. Find the unknown elements of triangle ABC if: ∠A = 20°, ∠C = 50°, BC = 15 cm. Use the sine theorem to solve the problem.

2. Find the unknown elements of the RKM triangle if: ∠K = 40°, RK = 2 cm, KM = 5 cm. Use the cosine theorem to solve the problem.

3. Find the area of triangle ABC if: BC = 4100 m, ∠A = 32°, ∠C = 120°.

**Geometry homework on “Solving triangles”**

**Option 1**

1. Find the unknown elements of triangle ABC if: ∠A = 40°, ∠C = 75°, BC = 17 cm. Use the sine theorem to solve the problem.

2. Find the unknown elements of triangle ABC if: AB = 4 cm, BC = 5 cm, ∠B = 110°. Use the cosine theorem to solve the problem.

3. Find the area of triangle ABC if: BC = 4.125 m, ∠B = 44°, ∠C = 72°.

**Option 2**

1. Find the unknown elements of triangle ABC if: ∠A = 20°, ∠C = 50°, BC = 15 cm. Use the sine theorem to solve the problem.

2. Find the unknown elements of the RKM triangle if: ∠K = 40°, RK = 2 cm, KM = 5 cm. Use the cosine theorem to solve the problem.

3. Find the area of triangle ABC if: BC = 4100 m, ∠A = 32°, ∠C = 120°.