How to determine the missing hypotenuse using special right triangles

How to determine the missing hypotenuse using special right triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers special right triangles, focusing on the 45-45-90 triangle. It explains the properties and relationships between the legs and hypotenuse, emphasizing that the legs are equal and the hypotenuse is the leg length multiplied by sqrt 2. The tutorial provides a step-by-step calculation of the hypotenuse and concludes with a summary of the key points.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two types of special right triangles are introduced in the video?

30-30-60 and 60-60-60

30-60-90 and 60-60-60

60-60-60 and 45-45-90

30-60-90 and 45-45-90

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 45-45-90 triangle, if one leg is X, what is the length of the other leg?

X√2

X/2

2X

X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

The hypotenuse is twice the length of a leg

The hypotenuse is half the length of a leg

The hypotenuse is the leg length multiplied by √2

The hypotenuse is the same as the legs

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a leg of a 45-45-90 triangle is 25, what is the length of the hypotenuse?

25√2

50√2

50

25

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the hypotenuse in a 45-45-90 triangle?

Leg length multiplied by 2

Leg length divided by √2

Leg length divided by 2

Leg length multiplied by √2