How to use special right triangles to determine the leg of a triangle

How to use special right triangles to determine the leg of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the characteristic of the angles in a 45-45-90 triangle?

Three 60-degree angles

Two 45-degree angles and one 90-degree angle

One 45-degree angle and two 90-degree angles

One 30-degree angle and two 60-degree angles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the hypotenuse of a 45-45-90 triangle if you know the length of one leg?

Divide the leg by the square root of 2

Multiply the leg by 2

Multiply the leg by the square root of 2

Divide the leg by 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the hypotenuse of a 45-45-90 triangle is known, how can you find the length of a leg?

Divide the hypotenuse by 2

Multiply the hypotenuse by the square root of 2

Divide the hypotenuse by the square root of 2

Multiply the hypotenuse by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to rationalize the denominator when calculating the leg length from the hypotenuse?

To make the calculation easier

To eliminate the irrational number in the denominator

To increase the accuracy of the result

To simplify the numerator

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for the leg length when the hypotenuse is 17 in a 45-45-90 triangle?

17 sqrt 2 / 2

17 * sqrt 2

17 / 2

17 / sqrt 2