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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Quizizz Content

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This video tutorial explains how to find the missing sides of a 30-60-90 triangle. It covers identifying the short leg, long leg, and hypotenuse, and provides methods to calculate the short leg and hypotenuse using given values. The tutorial also includes steps to simplify and rationalize expressions, ensuring the final answer is in its simplest form.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the three sides of a 30-60-90 triangle called?

Short leg, Long leg, Hypotenuse

Base, Height, Hypotenuse

Adjacent, Opposite, Hypotenuse

Base, Perpendicular, Hypotenuse

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the short leg of a 30-60-90 triangle is known, how can you find the hypotenuse?

Multiply the short leg by sqrt 3

Divide the short leg by 2

Multiply the short leg by 2

Multiply the short leg by 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Divide the long leg by sqrt 3

Divide the long leg by 2

Multiply the long leg by 2

Multiply the long leg by sqrt 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process called when you remove the square root from the denominator?

Factorization

Normalization

Rationalization

Simplification

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for the hypotenuse if the short leg is 18/sqrt 3?

12 times sqrt 3

18 times sqrt 3

36 times sqrt 3

24 times sqrt 3