Pythagorean Theorem and Triangle Properties

This video tutorial explains how to find missing side lengths in right triangles using the Pythagorean Theorem. It covers the theorem's application, demonstrates finding the hypotenuse and a leg, and discusses exact versus approximate values. The video concludes with an invitation for questions and feedback.

What type of triangle is the Pythagorean Theorem applicable to?

• Right triangle

• Scalene triangle

• Isosceles triangle

• Equilateral triangle

What is the sum of the squares of the legs of a right triangle equal to?

• The difference between the hypotenuse and one leg

• The sum of the hypotenuse and one leg

• The product of the legs

• The square of the hypotenuse

Which side of a right triangle is always the longest?

• Opposite side

• Adjacent side

• Hypotenuse

• Any side

In the example problem, what are the given lengths of the legs?

• 8 and 6

• 9 and 3

• 5 and 12

• 7 and 24

What property allows you to switch the order of the legs in the Pythagorean Theorem?

• Commutative property

• Distributive property

• Associative property

• Identity property

What is the value of the hypotenuse in the first example problem?

• 9

• 15

• 10

• 12

In the second example, which side are we trying to find?

• Adjacent side

• Hypotenuse

• Second leg

• First leg

What is the simplified exact value of the square root of 32?

• 4√2

• 5√2

• 6√2

• 3√2

What is the approximate value of the square root of 32 rounded to the nearest hundredth?

• 5.60

• 5.70

• 5.75

• 5.66

What should you do if asked for an exact value in a problem?

• Use a calculator for a decimal

• Estimate the value

• Round to the nearest whole number

• Leave it in terms of a simplified radical