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U2L2 - Converse of the Pythagorean Theorem

Last updated almost 5 years ago

10 questions

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Question 1

1.

Can the numbers 7, 12, and 16 be the three sides of a right triangle? Show your work.

Yes, these three numbers can create a right triangle

No, these three numbers cannot create a right triangle

Question 2

2.

Can the numbers 3, 4, and 5 be the three sides of a right triangle? Show your work.

Yes, these three numbers can create a right triangle

No, these three numbers cannot create a right triangle

Question 3

3.

Can the numbers 39, 15, and 36 be the three sides of a right triangle? Show your work.

Yes, these three numbers can create a right triangle

No, these three numbers cannot create a right triangle

Question 4

4.

Can the numbers 1, 1, and 2 be the three sides of a right triangle? Show your work.

Yes, these three numbers can create a right triangle

No, these three numbers cannot create a right triangle

Question 5

5.

Can the numbers 24, 25, and 7 be the three sides of a right triangle? Show your work.

Yes, these three numbers can create a right triangle

No, these three numbers cannot create a right triangle

Question 6

6.

Can the numbers 12, 13, and 18 be the three sides of a right triangle? Show your work.

Yes, these three numbers can create a right triangle

No, these three numbers cannot create a right triangle

Question 7

7.

A picket fence has a gate that is 48 inches wide and 62 inches hight. Find the length of a diagonal brace for the gate. Round to the nearest hundredth. Draw a picture to represent the problem and show all work. Just type in the number.

Question 8

8.

The base of a 25 foot ladder is placed 7 feet from a wall. If the ladder leans against the wall, how high will it reach? Draw a picture to represent the problem and show all work. Just type in the number

Question 9

9.

A laptop has a 16-inch screen when measured diagonally. If the screen is 13 inches wide, what is the length? Round to the nearest hundredth. Draw a picture to represent the problem and show all work. Just type in the number.

Question 10

10.

Solve for x. Show all your work. (Hint - you will have to do the pythagorean theorem twice!)