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National Parks Road Trip: Distance Log worksheet preview

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National Parks Road Trip: Distance Log

Use the Pythagorean Theorem to solve 2-D and 3-D distance problems during a national parks road trip.

Grade 8MathInteractive · Printable

Aligned to8.G.B.7

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students find unknown legs and hypotenuses of right triangles in two-dimensional situations.
  • Students apply the Pythagorean Theorem twice to find distances and missing dimensions in three dimensions.

How to use

Use after introducing the Pythagorean Theorem. Have students sketch and label right triangles, then compare their setups before checking answers. A calculator may be used.

Curriculum

Common Core standard covered

8.G.B.7

Use the Pythagorean Theorem to find unknown side lengths of right triangles in real-world and math problems in 2-D and 3-D.

Preview

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Name Date

National Parks Road Trip: Distance Log

Use right triangles to investigate distances along the trip.

Map Measurements

A group is planning a road trip across national parks. Use a² + b² = c², where c is the hypotenuse. Distances are exact unless rounding is requested.

1.
At the first park, Lena records the position of a visitor center relative to the entrance. The map is flat, and east and north are perpendicular.
Visitor Center Position
East of entrance (km)North of entrance (km)
1160

What is the straight-line distance from the entrance to the visitor center?   km

2.
On another flat park map, a campground is 41 km in a straight line from the entrance. It is 9 km north of the entrance and an unknown distance east.

How far east of the entrance is the campground?   km

3.
A flat map places a picnic stop 6 km west and 13 km south of a road junction. Which expression gives the exact straight-line distance between them?
  • A. (13 + 6) km
  • B. √(13² − 6²) km
  • C. √(13² + 6²) km
  • D. √(13 + 6) km

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