Determine the missing long leg and short leg of a 30 60 90 triangle

Determine the missing long leg and short leg of a 30 60 90 triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

FREE Resource

This video tutorial explains how to find the missing legs of a 30-60-90 triangle when given the hypotenuse. It details the relationship between the hypotenuse and the short leg, which is half the hypotenuse's length, and how to find the long leg by multiplying the short leg by the square root of 3. The tutorial provides a clear method for determining the missing lengths in a 30-60-90 triangle.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the hypotenuse and the short leg in a 30-60-90 triangle?

The hypotenuse is three times the short leg.

The hypotenuse is twice the short leg.

The hypotenuse is half the short leg.

The hypotenuse is equal to the short leg.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the short leg?

20

10

5

15

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the short leg of a 30-60-90 triangle if you know the hypotenuse?

Divide the hypotenuse by 2

Multiply the hypotenuse by 2

Divide the hypotenuse by sqrt 3

Multiply the hypotenuse by sqrt 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to find the long leg from the short leg in a 30-60-90 triangle?

Divide by sqrt 3

Multiply by 2

Divide by 2

Multiply by sqrt 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the short leg of a 30-60-90 triangle is 3, what is the length of the long leg?

3

3 sqrt 3

6

6 sqrt 3