Angelica uses the point (4, 3) to represent the location of her house and uses the point (10, 8) to represent the location of a gas station. Each unit on the graph represents 1 mi. Use Pythagorean theorem to determine how far the gas station is from Angelica’s house? Show your work.
Answer: (If you are writing on a separate paper, just draw a triangle and label it with the correct lengths on them)

1. Use the graph above and show the distance for leg “a” and write it here? _____________________

2. Use the graph above and show the distance for leg “b” and write it here?______________________

3. Fill the distances into the formula and use the Pythagorean Theorem to solve for c. (Show all steps) 𝑎𝑎2 + 𝑏𝑏2 = 𝑐𝑐2

4. C ≈ ___________________________

Question

Angelica uses the point (4, 3) to represent the location of her house and uses the point (10, 8) to represent the location of a gas station. Each unit on the graph represents 1 mi. Use Pythagorean theorem to determine how far the gas station is from Angelica’s house? Show your work.
Answer: (If you are writing on a separate paper, just draw a triangle and label it with the correct lengths on them)

1. Use the graph above and show the distance for leg “a” and write it here? _____________________

2. Use the graph above and show the distance for leg “b” and write it here?______________________

3. Fill the distances into the formula and use the Pythagorean Theorem to solve for c. (Show all steps) 𝑎𝑎2 + 𝑏𝑏2 = 𝑐𝑐2

4. C ≈ ___________________________

Lars · Answer

attachment

Lars · Answer

@shadow @oliver69 @joe348 @luigi0210

Luigi0210 · Answer

Have you drawn the triangle at least, or do you need help with that part?

Lars · Answer

@luigi0210 wrote:

Have you drawn the triangle at least, or do you need help with that part?

Well I kinda need help with it all, including drawing the triangle

Luigi0210 · Answer

Well, here is what I got for the triangle.

What you have to do is connect the points, and the lengths will be the differences between the respective x & y coordinate points:

Luigi0210 · Answer

From here, you can assign A and B to whatever side lengths you wish.

Lars · Answer

@luigi0210 wrote:

Well, here is what I got for the triangle. What you have to do is connect the points, and the lengths will be the differences between the respective x & y coordinate points:

What do you mean by that exactly?

Luigi0210 · Answer

I used the coordinate points to get the lengths, for example: 
(10, 8) (4, 3) Labeling 10 as x1 and 4 as x2

get the difference: 
x1-x2 = 10-4 = 6 
6 would be the horizontal distance, along the x-axis

same for y: 
8-3 = 5 
5 would be the vertical distance, along the y-axis

Luigi0210 · Answer

Set 6 as A and set 5 as B, this will allow you to set up the equation to solve for C

$$\Large 6^2 + 5^2 = C^2$$

Lars · Answer

c= 61
and
c= − 61
?

Luigi0210 · Answer

It's not worth it to engage with them. Simply ignore them and move on.

KyledaGreat · Answer

1. Leg "a" is the horizontal distance between the two points, which is 10 - 4 = 6 miles.
a = 6

2. Leg "b" is the vertical distance between the two points, which is 8 - 3 = 5 miles.
b = 5

3. Using Pythagorean theorem, we can calculate the length of the hypotenuse (c) as follows:
a^2 + b^2 = c^2
6^2 + 5^2 = c^2
36 + 25 = c^2
61 = c^2
c = √61

4. c ≈ 7.81 miles.

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