Part 1 Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose t
o write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario. Write out your problem and submit it for Part 1. Be sure to end your scenario with a question. Part 2 Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing. Part 3 Solve the question that you posed in Part 1. Show all of your steps in answering the question. For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. *Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.
1 answer:
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Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
The set is the set of all values of
that are solutions to the given equation. So all you need to do is check whether
and
satisfy the equation.
The equation holds, so both 1 and 2 are solutions, and hence is a subset of the solutions.