Pythagorean Theorem Unknown Hypotenuse

Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem.  Round to the nearest tenth.  You will need to do your drawing on graph paper.
Points:
(-7,3) and (-2,9)

• 9 units

• 8.6 units

• 4.9 units

• 4 units

Square ABCD is shown.  What is the length of diagonal AC?  Round to the nearest tenth, if necessary.

• 4.7 centimeters

• 9.4 centimeters

• 11 centimeters

• 15.6 centimeters

The side lengths of a right triangle are 24, 45 and 51.  Which side is the hypotenuse?

• 51

• 24

• 45

• Can't determine

Jorge is setting up his tent.  He is using two nylon ropes to pull the tent taut and stabilize it at each end.  If the tent is 5 feet tall, and Jorge stakes the ropes into the ground 3 feet from the tent, what is the total length of nylon rope he will use, to the nearest tenth of a foot?

• -4 feet

• 4 feet

• 5.8 feet

• 6

Gary is building braces for a shelf.  He will attach each brace to the front edge of the 6-inch shelf and 3 inches down the wall.  If he uses 3 braces for the shelf, how much bracing, in inches, will he need?  Round your answer to the nearest tenth of an inch.

• 6.7 inches

• 13.4 inches

• 20.1 inches

• 67.5 inches

a² + b² = c^{2
a = 9 b = 40}

• c = 41

• c = 65

• c = 25

• c = 5

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

a² + b² = c^{2
b = 35 c = 37}

• a = 12

• a = 11

• a = 18

• a = 14

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Find the value of the unknown side.

• 15

• 13

• 12

• 5