Pythagorean Theorem and Coordinate Plane

by Jesse Slick

| 12 QuestionsNote from the author:

Pythagorean Theorem

1

1

In the picture above, which letter is called the Hypotenuse?

A A

B B3

C C

2

1

The Longest side of a right triangle is called the "Hypotenuse".

True

False

3

2

List the exact length (AS A DECIMAL) for each segment shown above.

4

4

Draw a right triangle with sides 6in and 8in with an unknown hypotenuse and then use Pythagorean Theorem to solve for the missing length.

5

1

Give the EXACT length for one side of a square with an area of 81 inches.

6

1

Draw a right triangle with sides 9in and 12in with an unknown hypotenuse and then use Pythagorean Theorem to solve for the missing length.

7

1

Work Backwards: Draw a right triangle with the hypotenuse labeled 20ft and only one other side is labeled 16ft. This time you will square both numbers and subtract before using the square root button on you calculator.

8

1

A Pythagorean Triple is when 3 numbers fit perfectly in the pythagorean theorem equation. For example, 3, 4, 5 is a pythagorean triple because 3 squared plus 4 squared actually equals 5 squared. On the other hand, 6, 8, and 12 are not pythagorean triples because 6 squared plus 8 squared DOES NOT equal 12 squared (it equals 10 squared instead). So it doesn't work. Many sets of numbers don't work, but we can check to see if they work by plugging them into our pythagorean theorem equation. Write the famous pythagorean theorem equation below.

9

1

Work Backwards: Draw a right triangle with the hypotenuse labeled 50ft and only one other side is labeled 30ft. This time you will square both numbers and subtract before using the square root button on you calculator.

10

1

9, 12, 15 is a pythagorean Triple.

True

False

11

1

12, 16, 20 is a pythagorean Triple.

True

False

12

1

10, 15, 30 is a pythagorean Triple.

True

False

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