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Right Triangle Concepts and Pythagorean Theorem

Right Triangle Concepts and Pythagorean Theorem

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Mr. Tarrou explains how to find missing sides of right triangles using the Pythagorean Theorem. He covers four examples with increasing difficulty, including calculations with radicals and fractions. The video emphasizes the importance of correctly identifying the hypotenuse and using the theorem's formula. The lesson also touches on the limitations of the Pythagorean Theorem when only one side is known, suggesting the use of trigonometric functions in such cases.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary method used to find a missing side in a right triangle when two sides are known?

Law of Cosines

Pythagorean Theorem

Trigonometric functions

Law of Sines

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right triangle, what is the side opposite the right angle called?

Base

Opposite

Adjacent

Hypotenuse

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents the Pythagorean Theorem?

a^2 + b^2 = c^2

a^2 + b^2 = 2c^2

a^2 - b^2 = c^2

a^2 = b^2 + c^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, if one leg is 5 and the other is 12, what is the length of the hypotenuse?

17

13

10

15

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving for a leg in a right triangle, which side must remain isolated in the equation?

The base

The height

The leg

The hypotenuse

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 32?

4√2

5√2

6√2

7√2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the final example, what is the first step when dealing with mixed fractions?

Simplify the fractions

Convert to improper fractions

Find common denominators

Convert to decimals

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