Lesson Worksheet: Law of Sines Mathematics
In this worksheet, we will practice using the law of sines to find the sides and angles of a triangle and solve real-life problems.
Q1:
A small triangular flower bed has measurements as shown in the diagram. Calculate its area in square feet. Give your answer to two decimal places.
Q2:
Which of the following is a formula that can be used to find the area of a triangle?
- A
- B
- C
- D
- E
Q3:
In the given figure, work out the area of the triangle to 2 decimal places.
Q4:
is a triangle, where , , and . Find the area of , giving your answer to three decimal places.
Q5:
An isosceles triangle has two sides of length 48 cm and base angles of . Find the area of the triangle giving the answer to three decimal places.
Q6:
is a triangle where , and the area of the triangle is cm2. Find length giving the answer to two decimal places.
Q7:
is a triangle where , , and . Find the area of the triangle giving the answer to two decimal places.
Q8:
For the given figure, and . Use the Law of Sines to work out . Give your answer to two decimal places.
Q9:
is a triangle, where , , and length . Find the length of the shortest side of giving the answer to one decimal place.
Q10:
is a right triangle at . The point lies on , where , , and . Find the length of , giving your answer to the nearest centimeter.