How to use the law of sines when you have no solutions

How to use the law of sines when you have no solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial discusses the application of the law of sines in solving triangles, focusing on cases where no solution exists. It explains how to determine the height of a triangle using sine and outlines conditions for no solution, such as when side length A is less than the height or when A is obtuse and less than or equal to B. An example is provided to illustrate these concepts, demonstrating calculations and the use of the law of sines.

Read more

7 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the conditions under which there is no solution for a triangle when side length A is less than height H?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to calculate the height (H) of a triangle using side length B and angle A.

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the sine function in calculating the height of a triangle?

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens if side length A is less than height H in terms of triangle formation?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if there is a solution for a triangle when angle A is acute?

Evaluate responses using AI:

OFF

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between angle A and side length B when determining if a triangle can be formed.

Evaluate responses using AI:

OFF

7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the main constraints to determine if there is no solution for a triangle?

Evaluate responses using AI:

OFF