Understanding the Pythagorean Theorem

Who is credited with the discovery of the Pythagorean Theorem?

• Archimedes

• Euclid

• Pythagoras

• Aristotle

In a right triangle, what is the relationship between the hypotenuse and the other two sides?

• The hypotenuse is the sum of the other two sides.

• The hypotenuse is the difference of the squares of the other two sides.

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The hypotenuse is twice the length of one of the other sides.

What is the name of the triangle with sides 3, 4, and 5?

• 3-4-5 Triangle

• Scalene Triangle

• Isosceles Triangle

• Equilateral Triangle

If a right triangle has legs of 5 and 12, what is the length of the hypotenuse?

• 13

• 15

• 17

• 10

What are Pythagorean triples?

• Triangles with all sides as odd numbers

• Triangles with one side as a prime number

• Right triangles with all sides as whole numbers

• Triangles with all sides as even numbers

How do you find a missing leg in a right triangle if the hypotenuse is known?

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

• Multiply the known leg by the hypotenuse and take the square root.

• Add the square of the known leg to the square of the hypotenuse and take the square root.

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

What is the approximate value of the square root of 61?

• 7.81

• 8.00

• 7.50

• 8.10

How can you simplify the square root of 18?

• 3√2

• √36

• √9 + √2

• 2√9

What is the simplest radical form of the square root of 176?

• 4√11

• 2√44

• √176

• 8√2

What is the importance of simplifying radical expressions?

• To convert the number into a fraction

• To make calculations easier

• To find the exact value of a number

• To express the number in its simplest form