Right Triangle Concepts and Pythagorean Theorem

This video tutorial covers the Pythagorean theorem, explaining its application in right triangles to find the missing hypotenuse. It includes step-by-step solutions to example problems and a word problem, demonstrating how to apply the theorem in real-world scenarios. The tutorial emphasizes understanding the theorem's formula and using it to solve for unknown sides in right triangles.

What type of triangle is the Pythagorean Theorem applicable to?

• Scalene triangle

• Equilateral triangle

• Isosceles triangle

• Right triangle

In a right triangle, what do we call the side opposite the right angle?

• Hypotenuse

• Altitude

• Leg

• Base

What is the formula for the Pythagorean Theorem?

• a^2 + b^2 = c

• a + b = c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

If one leg of a right triangle is 5 and the other is 12, what is the length of the hypotenuse?

• 17

• 15

• 13

• 10

What is the square of 12?

• 120

• 144

• 124

• 140

In the second example, if the legs are 8 and 14, what is the length of the hypotenuse rounded to the nearest tenth?

• 15.8

• 17.2

• 16.1

• 16.5

What is the sum of 64 and 196?

• 280

• 270

• 260

• 250

In the word problem, what are the lengths of the two legs of the right triangle formed on the basketball court?

• 80 and 50

• 50 and 20

• 70 and 40

• 60 and 30

What is the square root of 4500 rounded to the nearest tenth?

• 68.1

• 69.1

• 67.1

• 66.1

What is a helpful check to ensure you have correctly found the hypotenuse?

• It should be equal to one of the legs

• It should be the shortest side

• It should be the longest side

• It should be the same length as the other sides