Determining Triangle Existence from Given Dimensions

What is the first step in determining if a set of dimensions and angles can form a triangle?

• Using the sine law

• Considering the possibility of triangle formation

• Drawing a diagram

• Checking if the information is complete

Tags

CCSS.7.G.A.2

Why is it important to first consider the possibility of triangle formation before applying laws or formulas?

• To determine the correct formula to use

• To ensure the information given is accurate

• To avoid unnecessary calculations

• All of the above

Tags

CCSS.7.G.A.2

What condition must be met for an acute angle scenario to form a complete triangle?

• The height must be shorter than the opposite side

• The adjacent side must be the longest side

• The opposite side must be longer than the adjacent side

• The opposite side must be shorter than the height

How do you find the height of a triangle when given an angle and a side length?

• Applying the Pythagorean theorem

• Using the cosine function

• Calculating the area and dividing by the base

• Using the sine function

Tags

CCSS.HSG.SRT.D.9

What mathematical tool is used to find the length of a side in a right triangle given an angle and another side?

• Cosine law

• Sine law

• Tangent function

• SOHCAHTOA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the significance of the height in determining the possibility of forming a triangle?

• It is irrelevant to triangle formation

• It determines if the sides can connect to form a triangle

• It is used to find the base length

• It helps in calculating the area

In the context of triangle construction, what does an 'incomplete triangle' refer to?

• A triangle with one side missing

• A triangle that is not equilateral

• A scenario where the sides cannot meet to form a triangle

• A triangle without a right angle

Tags

CCSS.7.G.A.2

What happens if the side opposite to an obtuse angle is shorter than the adjacent side?

• The triangle becomes equilateral

• No triangle can be formed

• A triangle is still possible

• It results in a right triangle

Tags

CCSS.7.G.A.2

In an obtuse angle scenario, what is the minimum requirement for the side opposite the angle?

• It must be longer than the adjacent side

• It must be shorter than the adjacent side

• There is no specific requirement

• It must be exactly equal to the adjacent side

What does the term 'ambiguous case' refer to in triangle construction?

• A scenario where multiple triangles can be formed

• A case where no triangle can be formed

• A case where the type of triangle is unclear

• A situation with only one possible triangle

Tags

CCSS.7.G.A.2