Distance on the Coordinate Plane & Converse HW Practice

Do the following three numbers form the sides of a right triangle:

28, 53, 45

*Hint: Make sure the largest number is plugged in as c in the formula.

• Yes

• No

Do the following three numbers form the sides of a right triangle:

4.5, 6, 7.5

• Yes

• No

Do the following three numbers form the sides of a right triangle:

20, 40, 30

*Hint: Make sure the largest number is plugged in as c in the formula.

• Yes

• No

Do the following three numbers form the sides of a right triangle:

50, 48, 14

*Hint: Make sure the largest number is plugged in as c in the formula.

• Yes

• No

Do the following three numbers form the sides of a right triangle:

1, 2, 5

• Yes

• No

Do the following three numbers form the sides of a right triangle:

25, 16, 12

*Hint: Make sure the largest number is plugged in as c in the formula.

• Yes

• No

Tina built a triangular sign with side lengths

of 73 inches, 55 inches and 48 inches. Is the sign

a right triangle?

• Yes

• No

Is the following triangle a right triangle?

• Yes

• No

Which of the following could be the areas (squares around the right triangle)

of the three squares below?

Example

12 ft², 16 ft², and 20 ft² would NOT be the areas of the squares off of a right triangle because 12 + 16 does not equal 20. All three numbers says feet² meaning the numbers have already been squared.

• 10 ft², 18 ft², and 30 ft²

• 4 ft², 5 ft², and 12 ft²

• 8 ft², 16 ft², and 24 ft²

Which of the following could be the perimeters

of the three squares below?

Example

20 ft, 16 ft, and 24 ft would NOT be the perimeters of the squares because 20/4=5, 16/4=4, 24/4=6 AND 5²+4² does not equal 6². You need to divide each perimeter by 4 to find the side lengths of the right triangle to see if they work with the Pythagorean Theorem.

• 12 ft, 16 ft, and 20 ft

• 40 ft, 80 ft, and 120 ft

• 16 ft, 24 ft, and 28 ft