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Pythagorean Distance - Intermediate Level: tricky scenarios handling Pythagorean Distance INTERMEDIATE

This expert challenge 📈 worksheet focuses on Pythagorean Distance - a key topic in Distance Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve pythagorean distance, pythagorean distance tricks, and pythagorean distance shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Pythagorean Distance
Worksheet 5 of 10 (44% complete)

Question 1

From point P, a person walks 3 m South, then 4 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(3² + 4²)
3. = √(9 + 16) = √25 = 5 m

Question 2

From point P, a person walks 7 m North, then 24 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(7² + 24²)
3. = √(49 + 576) = √625 = 25 m

Question 3

From point P, a person walks 20 m South, then 21 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(20² + 21²)
3. = √(400 + 441) = √841 = 29 m

Question 4

From point P, a person walks 3 m West, then 4 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(3² + 4²)
3. = √(9 + 16) = √25 = 5 m

Question 5

From point P, a person walks 9 m North, then 12 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(9² + 12²)
3. = √(81 + 144) = √225 = 15 m

Question 6

From point P, a person walks 12 m West, then 16 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(12² + 16²)
3. = √(144 + 256) = √400 = 20 m

Question 7

From point P, a person walks 3 m South, then 4 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(3² + 4²)
3. = √(9 + 16) = √25 = 5 m

Question 8

From point P, a person walks 9 m North, then 12 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(9² + 12²)
3. = √(81 + 144) = √225 = 15 m

Question 9

From point P, a person walks 5 m East, then 12 m North. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(5² + 12²)
3. = √(25 + 144) = √169 = 13 m

Question 10

From point P, a person walks 8 m North, then 6 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(8² + 6²)
3. = √(64 + 36) = √100 = 10 m

Question 11

From point P, a person walks 15 m West, then 8 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(15² + 8²)
3. = √(225 + 64) = √289 = 17 m

Question 12

From point P, a person walks 12 m East, then 16 m North. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(12² + 16²)
3. = √(144 + 256) = √400 = 20 m

Question 13

From point P, a person walks 9 m East, then 12 m North. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(9² + 12²)
3. = √(81 + 144) = √225 = 15 m

Question 14

From point P, a person walks 12 m North, then 16 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(12² + 16²)
3. = √(144 + 256) = √400 = 20 m

Question 15

From point P, a person walks 7 m South, then 24 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(7² + 24²)
3. = √(49 + 576) = √625 = 25 m

Question 16

From point P, a person walks 7 m North, then 24 m East. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(7² + 24²)
3. = √(49 + 576) = √625 = 25 m

Question 17

From point P, a person walks 15 m West, then 8 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(15² + 8²)
3. = √(225 + 64) = √289 = 17 m

Question 18

From point P, a person walks 20 m West, then 21 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(20² + 21²)
3. = √(400 + 441) = √841 = 29 m

Question 19

From point P, a person walks 5 m West, then 12 m South. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(5² + 12²)
3. = √(25 + 144) = √169 = 13 m

Question 20

From point P, a person walks 5 m South, then 12 m West. What is the shortest distance from point P?
Step-by-step:
1. These movements form a right angle
2. Shortest distance = √(5² + 12²)
3. = √(25 + 144) = √169 = 13 m
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