Distance Formula Adventures: Pythagorean Applications

1. A park is located at point A(2, 3) and a playground is at point B(5, 7). What is the distance between the park and the playground?

• 4

• 5

• 7

• 3

Tags

CCSS.HSG.GPE.B.7

2. A delivery truck starts at point C(-1, -2) and needs to reach a warehouse at point D(3, 4). How far does the truck need to travel?

• 3√13

• 5√2

• 2√13

• √50

Tags

CCSS.HSG.GPE.B.7

3. Two friends are standing at points E(0, 0) and F(6, 8) on a coordinate plane. Calculate the distance between them using the distance formula.

• 8

• 12

• 5

• 10

Tags

CCSS.HSG.GPE.B.7

4. A drone is flying from point G(1, 1) to point H(4, 5). If the drone flies in a straight line, what is the distance it covers?

• 7

• 5

• 3

• 6

Tags

CCSS.HSG.GPE.B.7

5. A school is located at point I(3, 2) and a library is at point J(7, 6). How far apart are the school and the library?

• 5√2

• 2√5

• 3√3

• 4

Tags

CCSS.HSG.GPE.B.7

6. A cyclist travels from point K(-2, 1) to point L(2, 3). What is the distance the cyclist travels?

• 4

• 2√5

• √10

• 3√2

Tags

CCSS.HSG.GPE.B.7

7. A city is represented on a coordinate plane with a hospital at point M(4, 4) and a fire station at point N(1, 1). Find the distance between the hospital and the fire station.

• 3√2

• 4

• 2√2

• 5

Tags

CCSS.HSG.GPE.B.7

8. A runner starts at point O(0, 0) and runs to point P(8, 6). How far does the runner go?

• 12

• 8

• 15

• 10

Tags

CCSS.HSG.GPE.B.7

9. A boat is at point Q(2, 3) and needs to reach point R(5, 1). Calculate the distance the boat must travel.

• 4.0

• 5.5

• 2.5

• 3.605551275463989

Tags

CCSS.HSG.GPE.B.7

10. A point S(3, 7) is connected to point T(6, 2) by a straight path. What is the length of this path?

• 7.000

• 4.123

• 5.831

• 6.789

Tags

CCSS.HSG.GPE.B.7