Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Law of Sines

Question Video: Determining the Number of Possible Solutions for a Triangle given Two Sides’ Lengths and the Size of an Angle

06:43

Worksheet: Law of Sines • 15 Questions

Q1:

Find all the possible values for the other lengths and angles in , giving the lengths to the nearest centimeter and angles to the nearest degree.

  • A cm, ,
  • B cm, ,
  • C cm, ,
  • D cm, ,

Q2:

Find all the possible values for the other lengths and angles in , giving the lengths to the nearest centimeter and angles to the nearest degree.

  • A cm, ,
  • B cm, ,
  • C cm, ,
  • D cm, ,

Q3:

is a triangle, where , , and . If the triangle exists, find all the possible values for the other lengths and angles in giving the lengths to two decimal places and angles to the nearest degree.

  • A , ,
  • BThe triangle does not exist.
  • C , ,

Q4:

is a triangle, where , , and . If the triangle exists, find all the possible values for the other lengths and angles in giving the lengths to two decimal places and angles to the nearest degree.

  • A , ,
  • BThe triangle does not exist.
  • C , ,

Q5:

is a triangle, where , , and . If the triangle exists, find all the possible values for the other lengths and angles in , giving the lengths to two decimal places and angles to the nearest degree.

  • A cm, , and
  • BThe triangle does not exist.
  • C cm, , and

Q6:

is a triangle, where , , and . If the triangle exists, find all the possible values for the other lengths and angles giving the lengths to two decimal places and angles to the nearest second.

  • A , , or , ,
  • B , , or , ,
  • C , ,
  • D , ,

Q7:

is a triangle, where , cm, and cm. How many possible solutions are there for the other lengths and angles?

  • Atwo solutions
  • Bone solution
  • Cno solutions

Q8:

is a triangle, where , , and . If the triangle exists, find all the possible values for its other lengths and angles, giving the lengths to one decimal place and angles to the nearest degree.

  • A cm, ,
  • B cm, ,
  • C cm, ,
  • D cm, ,

Q9:

is a triangle, where , , and . If the triangle exists, find all the possible values for its other lengths and angles, giving the lengths to one decimal place and angles to the nearest degree.

  • A cm, ,
  • B cm, ,
  • C cm, ,
  • D cm, ,

Q10:

is a triangle where , and . If the triangle exists, find all the possible values for the other lengths and angles in giving lengths to two decimal places and angles to the nearest second.

  • A , ,
  • BNo triangle exists.
  • C , , or , ,
  • D , ,
  • E , ,

Q11:

is a triangle, where , , and . If the triangle exists, find all the possible values for the other lengths and angles giving the lengths to two decimal places and angles to the nearest second.

  • A , , or , ,
  • B , , or , ,
  • C , ,
  • D , ,

Q12:

is a triangle, where , , and . If the triangle exists, find all the possible values for the other lengths and angles in , giving the lengths to two decimal places and angles to the nearest degree.

  • A cm, , and
  • BThe triangle does not exist.
  • C cm, , and

Q13: