Mastering the Pythagorean Theorem

Mr. Baron reviews the Pythagorean Theorem, emphasizing its importance in dealing with right triangles. He explains the formula c² = a² + b², identifying the hypotenuse and legs of a triangle. Two examples are provided: one for finding the hypotenuse and another for finding a leg. The video concludes with a reminder of the theorem's relevance in unit 8, which covers circle geometry.

What is the primary focus of the Pythagorean theorem?

• Calculating area of circles

• Finding side lengths in right triangles

• Determining angles in polygons

• Measuring perimeter of rectangles

What is the formula for the Pythagorean theorem?

• a^2 = b^2 + c^2

• c^2 = a^2 + b^2

• a^2 + b^2 = c

• c = a^2 - b^2

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

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

If a triangle has legs of lengths 8 and 5, what is the length of the hypotenuse?

• 12

• 9

• 13

• Approximately 9.4

How do you find a leg of a right triangle if you know the hypotenuse and the other leg?

• Add the squares of the hypotenuse and the known leg

• Divide the square of the hypotenuse by the square of the known leg

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

• Multiply the squares of the hypotenuse and the known leg

What is the length of the leg 'a' if the hypotenuse is 13 and the other leg 'b' is 5?

• 12

• 10

• 11

• 13

What mathematical operation is used to find a leg in the Pythagorean theorem when the hypotenuse and the other leg are known?

• Multiplication

• Addition

• Division

• Subtraction

Which of the following is NOT a direct application of the Pythagorean theorem?

• Determining the distance across a circular pond

• Measuring the length of a fence directly

• Calculating the height of a building using a shadow

• Finding the hypotenuse of a right triangle

If the hypotenuse of a right triangle is 15 and one leg is 9, what is the length of the other leg?

• 11.4

• 13.5

• 8.4

• 12

What is the result of subtracting the square of leg 'b' (5 units) from the square of the hypotenuse (13 units) in the Pythagorean theorem?

• 169

• 194

• 144

• 158