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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the missing sides of a 30-60-90 triangle when given the long leg. It details the process of calculating the short leg by dividing the long leg by the square root of 3, and then finding the hypotenuse by multiplying the short leg by 2. The tutorial provides a clear step-by-step approach to solving this common geometric problem.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a 30-60-90 triangle when given the long leg?

Multiply the long leg by 2.

Determine the short leg.

Find the hypotenuse directly.

Divide the long leg by 2.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the short leg if you are given the long leg in a 30-60-90 triangle?

Divide the long leg by sqrt 3.

Add sqrt 3 to the long leg.

Subtract sqrt 3 from the long leg.

Multiply the long leg by sqrt 3.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the short leg if the long leg is 2 sqrt 3?

4

3

2

sqrt 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Once you have the short leg, how do you find the hypotenuse in a 30-60-90 triangle?

Multiply the short leg by 3.

Multiply the short leg by 2.

Divide the short leg by 2.

Add 2 to the short leg.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hypotenuse if the short leg is 2?

2

3

6

4