Directions: Use the provided image along with the Pythagorean Theorem to find the distance between locations around town. Look for right triangles!

Use the answer choices at the bottom to "drag and drop" the correct distance between each of the buildings. All answers have been rounded to the nearest tenth. (Note: not all answers will be used)






Question 1



(16 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1) School →
Flower Shop
2) School →
Gas Station
3) Museum →
Veterinarian Office
4) Veterinarian Office →
Hospital
5) Museum →
Bakery
6) Bakery →
House
7) Cinema →
Fire Station
8) School →
Fire Station
Question 2
9) Show your work for how you found the distance between the School →
Fire Station. Be sure to include ALL steps necessary.
(2 points)
0 / 1000 Word Limit
Question 3
10) Answer both parts of this question:
Describe one way solving for a missing leg in a right triangle is SIMILAR to solving for a missing hypotenuse.
Describe one way solving for a missing leg in a right triangle is DIFFERENT than solving for a missing hypotenuse.
(2 points)
0 / 1000 Word Limit
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Answer 1:

1) School → Gas Station
2) School → Fire Station
3) Museum → Bakery
4) Veterinarian Office → Hospital

Answer 2:
To find the distance between the School and Fire Station, use the Pythagorean Theorem:
a^2 + b^2 = c^2
(4)^2 + (6)^2 = c^2
16 + 36 = c^2
52 = c^2
c ≈ √52
c ≈ 7.2

Answer 3:
Similarity: Both involve using the Pythagorean Theorem to calculate the missing side.
Difference: When solving for a missing leg, you have to identify which leg you are solving for first, while when solving for a missing hypotenuse, you always know which side you are solving for.