Mastering the Pythagorean Theorem for 8th Grade Math

The video tutorial reviews the Pythagorean theorem, explaining its basic principles and applications. It covers calculating areas of squares, finding missing side lengths in right triangles, and using the theorem to determine dimensions of rectangles. The converse of the theorem is also discussed, along with practical applications for finding distances on a coordinate plane.

What is the formula of the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• 2a + 2b = c

• a^2 + b^2 + c^2 = 0

If the area of square D is 10 units squared and square E is 42 units squared, what is the area of square F?

• 52 units squared

• 32 units squared

• 62 units squared

• 22 units squared

How do you find a missing leg in a right triangle using the Pythagorean theorem?

• Add the squares of the two known sides

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

• Multiply the squares of the two known sides

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

If the width of a rectangle is 7 feet and the diagonal is 25 feet, what is the length of the rectangle?

• 25 feet

• 24 feet

• 32 feet

• 18 feet

Which set of side lengths does NOT form a right triangle?

• 14, 48, 50

• 3, 4, 7

• 5, 12, 13

• 1.2, 3.5, 3.7

Which sets of side lengths form a right triangle? (Choose two)

• 40, 42, 58

• 12, 35, 47

• 11, 12, 13

• 10, 49.5, 50.5

To determine if three numbers can form a right triangle, you should:

• Add the three numbers

• Multiply the three numbers

• Divide the largest number by the sum of the other two

• Apply the Pythagorean theorem

What is the distance between points M and T on a coordinate plane?

• 7.8 units

• 6.1 units

• 8.7 units

• 5.6 units

How do you find the hypotenuse of a right triangle on a coordinate plane?

• Add the squares of the horizontal and vertical distances and take the square root

• Subtract the squares of the horizontal and vertical distances and take the square root

• Multiply the squares of the horizontal and vertical distances and take the square root

• Divide the squares of the horizontal and vertical distances and take the square root

What is the length of the line segment JK if point J is at (-2, 1) and point K is at (3, 4)?

• 5.8 units

• 7.2 units

• 4.9 units

• 6.4 units