# Lesson Worksheet: Law of Sines Mathematics

In this worksheet, we will practice applying the law of sines to find lengths and angle measures in non-right triangles.

**Q1: **

is a triangle where , and . Find the length of giving the answer to two decimal places.

**Q11: **

Which rule could be used to find the length of an unknown side of a triangle, given the measures of two angles and the length of one other side?

- Asine rule
- Bcosine rule
- Cdouble angle rule
- Dangles sum rule
- Etangent rule

**Q15: **

is a triangle, where , , and length . Find the length of the shortest side of giving the answer to one decimal place.

**Q16: **

In the given figure, is a rectangle and is a point on the straight line . , , and . Find the length of giving the answer to the nearest meter.

**Q17: **

is a triangle where and . Find length giving the answer to two decimal places.

**Q18: **

In triangle , , , and . Find the length of to the nearest tenth.

**Q19: **

is a triangle, where and the ratio between is . Find and , giving the answer to the nearest centimeter.

- A,
- B,
- C,
- D,

**Q20: **

is a triangle where , and . What type(s) could be?

- AObtuse
- BAcute
- CAcute or obtuse

**Q21: **

is a triangle, where , , and length . Find the length of the longest side of giving the answer to one decimal place.

**Q22: **

is a triangle where and . Find giving the answer to two decimal places.

**Q23: **

is a triangle where , and . Find the values of and giving the answer to two decimal places.

- A and
- B and
- C and
- D and

**Q24: **

is a triangle, where , , and . lies on , where . Find the length of , giving your answer to three decimal places.

**Q25: **

is a triangle where , and . Point lies on where . Find to the nearest degree and lengths , and giving the answers to two decimal places.

- A, , ,
- B, , ,
- C, , ,
- D, , ,