Special Right Triangles Problems

Special Right Triangles Problems

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers special right triangles, focusing on 45-45-90 and 30-60-90 triangles. It explains their properties, such as congruent angles and sides in 45-45-90 triangles and the relationship between sides in 30-60-90 triangles. The tutorial includes examples to demonstrate how to solve problems involving these triangles, emphasizing the use of radicals and the importance of not having radicals in the denominator.

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30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two types of special right triangles discussed in this section?

30-30-60 and 60-60-60

60-60-60 and 45-45-90

30-60-90 and 45-45-90

30-60-90 and 60-60-60

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 45-45-90 triangle, what is the relationship between the two legs?

The legs are unrelated

One leg is twice the other

The legs are equal

One leg is half the other

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the hypotenuse in a 45-45-90 triangle if the leg length is 'a'?

a * √3

a * √2

a * 2

a / √2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If one leg of a 45-45-90 triangle is 6, what is the length of the hypotenuse?

6

12

6√3

6√2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 45-45-90 triangle, if the hypotenuse is 12, what is the length of each leg?

6√2

12√2

6

12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 45-45-90 triangle, if the hypotenuse is 18, what is the length of each leg?

9√2

9

18

18√2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the hypotenuse of a 45-45-90 triangle is 20, what is the length of each leg?

20

10

10√2

20√2

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