Learn to determine when there is 1, 2 or no triangle

Learn to determine when there is 1, 2 or no triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of oblique triangles, focusing on the ambiguous case where one, none, or two triangles can exist. It explains how to solve for angle B using the sine rule and provides tips on using a calculator for trigonometric calculations. The tutorial concludes by explaining why certain conditions result in no triangle being possible.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is characterized by having at least one angle that is not acute?

Right triangle

Equilateral triangle

Oblique triangle

Isosceles triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the ambiguous case of the SSA scenario, how many possible triangles can be formed?

One or two triangles

One, two, or no triangles

Only one triangle

No triangles

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the preferred method to solve for angles in the ambiguous case?

Solving directly without flipping

Using the cosine rule

Flipping the ratio so angles are on top

Using the tangent rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What function is used to find the angle B from its sine value?

Cosine inverse

Tangent inverse

Secant inverse

Sine inverse

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does an error indicate when using a calculator to find an angle in a triangle?

The angle is too large

No triangle can exist

The triangle is equilateral

The angle is too small