Understanding the Pythagorean Theorem

This video tutorial covers the Pythagorean theorem, explaining its application in finding unknown side lengths in right triangles. It begins with an introduction to right triangles, defining the legs and hypotenuse. The video then demonstrates how to use the Pythagorean theorem to calculate the hypotenuse and missing legs through various examples, emphasizing the importance of identifying the longest side as the hypotenuse. The tutorial concludes with a special mention of the 3-4-5 triangle, a common right triangle configuration.

What is the angle measure of a right angle in a triangle?

• 120°

• 45°

• 60°

• 90°

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

• Leg

• Base

• Hypotenuse

• Height

What is the formula of the Pythagorean Theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

If the legs of a right triangle are 3 and 4, what is the length of the hypotenuse?

• 5

• 6

• 7

• 8

What is the first step in solving for the hypotenuse using the Pythagorean Theorem?

• Divide the legs

• Subtract the legs

• Square the legs

• Add the legs

When solving for a missing leg, what operation is used after subtracting the square of the known leg from the square of the hypotenuse?

• Division

• Square rooting

• Multiplication

• Addition

If the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

• 8

• 7

• 4

• 5

What is the length of the missing leg if the hypotenuse is 13 and one leg is 5?

• 12

• 10

• 8

• 6

What is a special right triangle with sides in the ratio 3:4:5 called?

• 3-4-5 triangle

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

What is the length of the hypotenuse in a 3-4-5 triangle?

• 3

• 4

• 5

• 6