Pythagorean Theorem and Distance Formula Word Problems

Which of the following is closest to the diagonal length between A and B? Round to the nearest tenth only if needed. (HINT: We're looking for the Central Diagonal.)

• 15.6 inches

• 10 inches

• 244 inches

• 22 inches

Which set of sides would make a right triangle? (Use the Pythagorean Theorem to test the side lengths.)

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Which equation is verified by the graphic?

• 3 + 4 = 5
  

Which of the following could be the AREAS of the three squares below? (HINT: Think about the sum of the areas.)

What is the value of c?

• 7

• 10.9

• 13

• 17

Solve for x. 

• 38.9

• 40.2

• 45.6

• 54

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

Find x, the missing side length in the right triangle. Round to the nearest tenth only if needed.

• 16

• 23.3

• 8

• 19

How would you write the Pythagorean Theorem equation for this right triangle?

• 
• 
• 

_{^{Find the missing side}}

• 9

• 26.9

• 37

• 18.2