Exploring the Pythagorean Theorem: Finding a Leg

The video tutorial reviews the Pythagorean theorem, focusing on finding the hypotenuse and missing legs in right triangles. It also covers using the theorem for diagonals in rectangles. The instructor provides step-by-step examples and concludes with assignment instructions.

What is the formula for the Pythagorean theorem?

• a^2 / b^2 = c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

If a triangle has legs of lengths 8 and 6, what is the length of the hypotenuse?

• 8

• 14

• 12

• 10

In a right triangle, if one leg is 3 and the other is 4, what is the hypotenuse?

• 9

• 6

• 7

• 5

How do you find a missing leg if you know the hypotenuse and the other leg?

• Multiply the squares of the hypotenuse and the known leg and take the square root

• Divide the square of the hypotenuse by the square of the known leg and take the square root

• Add the squares of the hypotenuse and the known leg and take the square root

• Subtract the square of the known leg from the square of the hypotenuse and take the square root

If the hypotenuse is 26 and one leg is 24, what is the length of the missing leg?

• 12

• 14

• 10

• 8

What is the length of the leg B if the hypotenuse is 10 and the other leg is 6?

• 4

• 6

• 8

• 10

For a right triangle with legs 5 and B, and hypotenuse 13, what is the length of B?

• 10

• 9

• 11

• 12

In a rectangle, if one side is 12 and the other side is 15, what is the length of the diagonal?

• 21

• 19

• 9

• 18

What property of rectangles is used to solve problems involving diagonals?

• Adjacent sides are perpendicular

• Opposite sides are congruent

• All angles are 90 degrees

• All sides are equal

What should you do if the problem involves a square root already?

• You are not responsible for solving it at this point

• Estimate the square root manually

• Use a calculator to find the precise value

• Solve it using the quadratic formula