# 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 cm^{2}. 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.