Exploring the Pythagorean Theorem

The video introduces the Pythagorean theorem, explaining its application to right triangles and the relationship between their sides. It covers the theorem's equation, a² + b² = c², and demonstrates its use through example problems. Visual aids are used to enhance understanding, showing how the areas of squares on the triangle's sides relate to each other. The video concludes with a summary of the concepts covered.

Who is credited with the Pythagorean Theorem?

• Pythagoras

• Aristotle

• Archimedes

• Euclid

What type of triangle is the Pythagorean Theorem applicable to?

• Scalene

• Isosceles

• Equilateral

• Right

What does the 'c' in the Pythagorean Theorem equation represent?

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

What is the first step in using the Pythagorean Theorem to find a missing side?

• Divide the hypotenuse by 2

• Add the lengths of the legs

• Identify the legs and hypotenuse

• Square the hypotenuse

What does the Pythagorean Theorem equation 'a squared plus b squared equals c squared' represent?

• The relationship between the sides of a right triangle

• The area of a right triangle

• The relationship between the sides of any triangle

• The sum of the angles in a right triangle

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

• 5 feet

• 6 feet

• 7 feet

• 8 feet

How do you isolate the variable when solving for a side in the Pythagorean Theorem?

• Add the square root

• Subtract the square root

• Multiply by the square root

• Take the square root

In the Pythagorean Theorem, how do you find the area of the square on the hypotenuse?

• Subtract the area of one leg square from the other

• Multiply the lengths of the two legs

• Divide the sum of the leg squares by 2

• Add the areas of the squares on the legs

What is the area of the square on the hypotenuse for a triangle with legs 4 feet and 3 feet?

• 9 square feet

• 16 square feet

• 25 square feet

• 12 square feet

If a right triangle has a hypotenuse of 17 cm and one leg of 15 cm, what is the length of the other leg?

• 14 cm

• 12 cm

• 10 cm

• 8 cm