How to find the missing side of a right triangle without a calculator

How to find the missing side of a right triangle without a calculator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the application of trigonometric ratios, focusing on a 60-degree angle example. It explains how to simplify calculations and identify the correct trigonometric function, particularly the tangent function, to solve for unknowns. The tutorial concludes with problem-solving using specialized triangles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the short leg and the longer leg in a 60-degree triangle?

The longer leg is the short leg divided by two.

The longer leg is twice the short leg.

The longer leg is the short leg multiplied by the square root of three.

The longer leg is half the short leg.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used when you have the opposite and adjacent sides of a triangle?

Cosine

Tangent

Secant

Sine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the tangent of 60 degrees in terms of square roots?

Square root of 2

Square root of 3

Square root of 3 divided by 2

Square root of 2 divided by 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for X when it is in the denominator of an equation?

Add X to both sides

Multiply both sides by X

Subtract X from both sides

Divide both sides by X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 15 divided by the square root of 3?

5 square root of 3

15 square root of 3

3 square root of 5

5 divided by square root of 3