Using special right triangles to determine the missing values of a triangle

Using special right triangles to determine the missing values of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the properties of a 30-60-90 triangle, focusing on the relationships between its sides. The teacher reviews the Pythagorean theorem and demonstrates how to calculate the hypotenuse and long leg when the short leg is known. An example is provided using a short leg of 11, showing how to find the hypotenuse and long leg using multiplication.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unique property of a 30-60-90 triangle?

All sides are equal.

The angles are all 60 degrees.

The sides have a specific ratio.

It is a right triangle with equal legs.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 30-60-90 triangle, if the short leg is 'x', what is the length of the hypotenuse?

x

2x

x/2

x * sqrt(3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the long leg of a 30-60-90 triangle if the short leg is known?

Multiply the short leg by 2

Multiply the short leg by sqrt(3)

Divide the short leg by 2

Add the short leg to the hypotenuse

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the short leg of a 30-60-90 triangle is 11, what is the length of the hypotenuse?

11

22

11 * sqrt(3)

33

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a 30-60-90 triangle with a short leg of 11, what is the length of the long leg?

11 * sqrt(3)

22

11

33

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