Right Triangle Concepts and Pythagorean Theorem

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.

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

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

• Base

• Opposite

• Adjacent

• Hypotenuse

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

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

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

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

• 4√2

• 5√2

• 6√2

• 7√2

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

What is the lowest common multiple of 9 and 4?

• 18

• 27

• 36

• 45

What is the result of 11 squared?

• 141

• 131

• 121

• 111

What is the final simplified form of x in the last example?

• √259/3

• √259/4

• √259/5

• √259/6