Determine the missing hypotenuse of a 45 45 90 triangle ex 2

Determine the missing hypotenuse of a 45 45 90 triangle ex 2

Assessment

Interactive Video

Mathematics, Health Sciences, Biology

11th Grade - University

Hard

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The video tutorial explains how to find the missing legs of a 45-45-90 triangle. It covers the process of calculating the hypotenuse from a given leg by multiplying by the square root of 2, and conversely, finding a leg from the hypotenuse by dividing by the square root of 2. The tutorial also demonstrates how to rationalize the denominator to simplify expressions, ultimately providing a clear method to solve for the legs when given the hypotenuse.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is being discussed in the video?

Scalene triangle

Equilateral triangle

45-45-90 triangle

30-60-90 triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to find the hypotenuse from a leg in a 45-45-90 triangle?

Divide by sqrt 2

Multiply by sqrt 2

Multiply by 2

Add 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If given the hypotenuse, what operation is needed to find the leg in a 45-45-90 triangle?

Multiply by sqrt 2

Divide by sqrt 2

Add sqrt 2

Subtract sqrt 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of rationalizing the denominator in this context?

To change the triangle type

To make the numerator a whole number

To eliminate a radical in the denominator

To simplify the expression

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for the leg when the hypotenuse is given as 5 sqrt 2?

5

5 sqrt 2

5 / 2

5 sqrt 2 / 2