How to find the legs of a special right triangle when given the hypotenuse

How to find the legs of a special right triangle when given the hypotenuse

Assessment

Interactive Video

Mathematics, Health Sciences, Biology

11th Grade - University

Hard

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The video tutorial discusses special right triangles, focusing on the relationship between the legs and the hypotenuse. It explains that if the legs are known, the hypotenuse can be found by multiplying by the square root of 2. Conversely, if the hypotenuse is given, the legs can be determined by dividing by the square root of 2. The tutorial emphasizes understanding these relationships to solve problems involving special right triangles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the two legs of a special right triangle?

One is twice the other.

One is the square of the other.

They are equal.

They are always different.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To find the hypotenuse of a special right triangle when the legs are known, you should:

Add the legs together.

Square one leg.

Multiply one leg by the square root of 2.

Divide one leg by 2.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value you multiply by to find the hypotenuse from the legs in a special right triangle?

Square root of 2

3

Square root of 3

2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the hypotenuse of a special right triangle is given, how do you find the length of the legs?

Add the square root of 2 to the hypotenuse.

Multiply the hypotenuse by 2.

Divide the hypotenuse by the square root of 2.

Subtract the square root of 2 from the hypotenuse.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When given the hypotenuse, what operation helps find the legs of a special right triangle?

Multiplication

Subtraction

Addition

Division