Right Triangle Concepts and Calculations

This video tutorial explains how to find the missing side of a right triangle using the Pythagorean theorem. It covers the basic properties of right triangles, including the definition of the hypotenuse and legs. The video provides four examples: two focusing on finding the hypotenuse and two on finding a leg. Each example is solved step-by-step, demonstrating the use of the Pythagorean theorem and basic algebraic operations to find the missing side.

What is a right triangle?

• A triangle with all angles less than 90 degrees

• A triangle with two equal sides

• A triangle with a right angle

• A triangle with all equal sides

What is the sum of the angles in any triangle?

• 360 degrees

• 270 degrees

• 90 degrees

• 180 degrees

What does the Pythagorean theorem state?

• a^2 + b^2 = c^2

• a + b = c

• a^2 - b^2 = c^2

• a^2 + b^2 = c

In the Pythagorean theorem, what does 'c' represent?

• One of the legs

• The hypotenuse

• The height

• The base

Which side of a right triangle is the hypotenuse?

• Any side

• The shortest side

• The side adjacent to the right angle

• The side opposite the right angle

What are the legs of a right triangle?

• The two sides that form the right angle

• Any two sides

• The longest side

• The sides opposite the right angle

In a right triangle, if the legs are 21 and 20, what is the hypotenuse?

• 29

• 25

• 31

• 30

How do you find the hypotenuse if you know the legs?

• Add the legs

• Subtract the legs

• Use the Pythagorean theorem

• Multiply the legs

What is the result of 20 squared plus 21 squared?

• 900

• 841

• 441

• 400

If a right triangle has legs of 7 and 24, what is the hypotenuse?

• 26

• 25

• 27

• 28