30 60 90 Triangles CHEAT CODE SHORTCUT

30 60 90 Triangles CHEAT CODE SHORTCUT

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to set up and solve 30-60-90 triangles. It begins with an introduction and a request for viewers to subscribe. The instructor then provides a detailed explanation of the 30-60-90 triangle setup, followed by a template for solving these triangles. Two example problems are presented: one with the 30 side as the base and a more complex one with the 60 side as the base. The tutorial emphasizes the relationships between the angles and sides of the triangle and provides step-by-step instructions for solving them.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the angles and sides in a 30-60-90 triangle?

The 30-degree angle is opposite the longest side.

The 60-degree angle is opposite the shortest side.

The 90-degree angle is opposite the hypotenuse.

The 30-degree angle is opposite the shortest side.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the side opposite the 30-degree angle is 4, what is the length of the hypotenuse?

4

4√3

8

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the side opposite the 60-degree angle if the side opposite the 30-degree angle is known?

Multiply by 2

Multiply by √3

Divide by √3

Divide by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a 30-60-90 triangle when given the side opposite the 60-degree angle?

Divide by 2

Multiply by √3

Divide by √3

Multiply by 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to rationalize the denominator when dividing by a radical?

It is considered improper to have a radical in the denominator.

It is a mathematical rule.

It simplifies the expression.

It makes calculations easier.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the side opposite the 60-degree angle is 10, what is the length of the side opposite the 30-degree angle after rationalization?

3√10

10/√3

10

10√3/3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step to find the hypotenuse if the side opposite the 30-degree angle is known?

Multiply by 2

Multiply by √3

Divide by 2

Divide by √3

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