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, , ,