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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

Tags

CCSS.8.G.B.8

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

• 12

• 9

• 13

• Approximately 9.4

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.7

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

• 12

• 10

• 11

• 13

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.8