Right Triangle Properties and Pythagorean Theorem

This video tutorial covers the Pythagorean theorem, explaining its application in right triangles. It details how to calculate the hypotenuse and missing legs using the formula a² + b² = c². The tutorial includes examples and extends the theorem's application to 3D figures, demonstrating how to find the longest diagonal in a box. The video concludes with a summary and links to additional resources.

What are the two sides that form the right angle in a right triangle called?

• Height

• Base

• Legs

• Hypotenuse

In the Pythagorean Theorem, what is the longest side of a right triangle called?

• Hypotenuse

• Height

• Base

• Diagonal

What is the formula for the Pythagorean Theorem?

• a^2 + b^2 = c^2

• a + b = c

• a^2 + b = c^2

• a^2 - b^2 = c^2

If one leg of a right triangle is 3 and the other is 4, what is the length of the hypotenuse?

• 7

• 8

• 6

• 5

What is the result of 3 squared plus 4 squared?

• 9

• 25

• 16

• 12

When solving for the hypotenuse, what operation is performed after adding the squares of the legs?

• Subtraction

• Square root

• Addition

• Multiplication

If the legs of a right triangle are 8 and 15, what is the hypotenuse?

• 20

• 18

• 17

• 19

What is the square root of 289?

• 15

• 18

• 17

• 16

When given one leg and the hypotenuse, what is the first step to find the missing leg?

• Divide the squares

• Subtract the square of the known leg from the hypotenuse squared

• Add the squares

• Multiply the squares

If one leg is 12 and the hypotenuse is 15, what is the length of the other leg?

• 9

• 10

• 7

• 8