Understanding the Pythagorean Theorem

This video tutorial introduces the Pythagorean Theorem, explaining its components and application in right triangles. It demonstrates how to identify the hypotenuse and use the theorem to calculate missing side lengths through two examples. The first example involves finding the hypotenuse of a triangle with given leg lengths, while the second example includes sketching a triangle and solving for the hypotenuse. The video emphasizes the importance of correctly identifying the hypotenuse and provides step-by-step calculations, including rounding to the nearest decimal place.

Who is credited with proving the Pythagorean Theorem?

• Euclid

• Newton

• Archimedes

• Pythagoras

What is the formula for the Pythagorean Theorem?

• a² + b² = c²

• a² + b² = c

• a + b = c²

• a² = b² + c²

In a right triangle, what is the side opposite the right angle called?

• Adjacent

• Base

• Height

• Hypotenuse

Which side of the right triangle is the longest?

• Adjacent

• Hypotenuse

• Height

• Base

What is the importance of identifying the hypotenuse correctly in the Pythagorean Theorem?

• It is always equal to the sum of the other sides

• It is used to calculate the area

• It is on one side of the equation by itself

• It is the shortest side

In the first example, what are the given lengths of sides a and b?

• 8 and 12

• 12 and 14

• 7 and 12

• 7 and 8

What is the approximate length of the hypotenuse in the first example?

• 12.9

• 14.9

• 15.9

• 13.9

In the second example, what are the lengths of the two legs?

• 10 cm and 12 cm

• 7 cm and 12 cm

• 8 cm and 12 cm

• 8 cm and 14 cm

What is the approximate length of the hypotenuse in the second example?

• 14.22 cm

• 14.62 cm

• 14.82 cm

• 14.42 cm

To how many decimal places is the hypotenuse rounded in the second example?

• Thousandths

• Hundredths

• Whole number

• Tenths