How to use your trig functions to evaluate using the sides of a triangle

How to use your trig functions to evaluate using the sides of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if triangles are similar by comparing trigonometric ratios. It begins with an introduction to similar triangles and the importance of trigonometric functions. The Pythagorean theorem is applied to find the sides of triangles, followed by calculations of sine, cosine, and tangent. Finally, the tutorial compares these ratios to confirm triangle similarity.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining if two triangles are similar using trigonometric functions?

Find the perimeter of the triangles.

Measure the angles of the triangles.

Compare the first three trigonometric functions.

Calculate the area of both triangles.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the missing side of a right triangle?

Sine Rule

Cosine Rule

Tangent Rule

Pythagorean Theorem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated value of side 'b' when using the Pythagorean theorem with a hypotenuse of 1.25 and one side of 1?

1.0

1.25

0.75

0.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of Theta for the first triangle?

4/5

3/5

1/1.25

3/4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you confirm that two triangles are similar using trigonometric ratios?

By checking if the angles are equal.

By ensuring the side lengths are identical.

By verifying that the trigonometric ratios are the same.

By comparing the areas of the triangles.