Pythagorean Theorem and Triangle Properties

The video tutorial covers the Pythagorean Theorem, explaining its application in right triangles. It includes examples of solving for missing sides, discusses necessary information for using the theorem, and introduces Pythagorean triples. The tutorial also covers simplifying radicals and verifying right triangles, concluding with a method to find the area of an isosceles triangle.

Who was the Greek mathematician that discovered the Pythagorean Theorem?

• Euclid

• Socrates

• Archimedes

• Pythagoras

What does the Pythagorean Theorem state about the sides of a right triangle?

• The sum of the squares of the legs equals the square of the hypotenuse.

• The sum of the angles is 180 degrees.

• The hypotenuse is always twice the length of one leg.

• The legs are always equal in length.

In a right triangle, which side is opposite the 90-degree angle?

• Leg B

• Base

• Leg A

• Hypotenuse

If a right triangle has legs of 8 and 15, what is the length of the hypotenuse?

• 17

• 20

• 13

• 19

When given a right triangle with a hypotenuse of 2.9 and one leg of 2.1, what is the length of the other leg?

• 1

• 2

• 4

• 3

Which of the following is NOT required to use the Pythagorean Theorem?

• Two side lengths must be known.

• All three angles must be known.

• The triangle must have a right angle.

• The hypotenuse must be known.

What is a Pythagorean triple?

• A set of three numbers that form an isosceles triangle.

• A set of three sides that form an equilateral triangle.

• A set of three numbers that always form a right triangle.

• A set of three angles that form a right triangle.

Which of the following is a Pythagorean triple?

• 7, 24, 25

• 6, 8, 10

• 5, 12, 13

• All of the above

What should you do if your answer is not a perfect square when using the Pythagorean Theorem?

• Simplify the radical.

• Leave it as a decimal.

• Ignore the result.

• Round to the nearest whole number.

How do you simplify the square root of 147?

• 12.12

• 14√2

• 9√5

• 7√3