Determine the missing hypotenuse of a 45 45 90 triangle ex 3

Determine the missing hypotenuse of a 45 45 90 triangle ex 3

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the properties of a 45-45-90 right triangle, highlighting that the legs are equal and the hypotenuse is calculated by multiplying the leg by the square root of 2. The tutorial provides a step-by-step guide to determine the hypotenuse when one leg is known, using an example where the leg is the square root of 7, resulting in a hypotenuse of the square root of 14.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a unique property of the legs in a 45-45-90 triangle?

They are equal in length.

One is twice the length of the other.

They are different lengths.

They form a 60-degree angle.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 45-45-90 triangle, where is the hypotenuse located?

Adjacent to the 45-degree angle.

Next to the longest leg.

Opposite the 45-degree angle.

Directly across from the 90-degree angle.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If one leg of a 45-45-90 triangle is sqrt 7, what is the length of the other leg?

14

sqrt 14

7

sqrt 7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the hypotenuse in a 45-45-90 triangle if one leg is known?

Add the leg to sqrt 2.

Multiply the leg by sqrt 2.

Multiply the leg by 2.

Multiply the leg by sqrt 3.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for the hypotenuse if the leg is sqrt 7?

sqrt 14

sqrt 49

sqrt 9

sqrt 21