Math Problem Statement
Use the Pythagorean theorem to find the length of the missing side
Solution
PIL import Image import pytesseract
Load the uploaded image
image_path = '/mnt/data/1736810512348bzkmb54o.jpg' image = Image.open(image_path)
Use OCR to extract text and analyze the image
extracted_text = pytesseract.image_to_string(image) extracted_textThe OCR did not extract any readable text from the image, but based on the visual content, we see a right triangle where one leg is , the hypotenuse is , and the other leg is missing.
Solution:
The Pythagorean theorem states: Here, is the hypotenuse, and and are the two legs. Substituting the given values:
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Square the known values:
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Isolate :
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Take the square root of both sides:
Final Answer:
The length of the missing side is 4 units.
Would you like a detailed explanation of any step, or assistance with another concept?
Related Questions:
- How can you verify if a triangle is a right triangle using side lengths?
- Can the Pythagorean theorem be used in 3D geometry?
- What happens if the hypotenuse is missing in a problem?
- How do you determine the area of a right triangle using side lengths?
- What are the properties of a 3-4-5 triangle?
Tip: Always confirm which side is the hypotenuse in a right triangle—it is the side opposite the right angle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
a^2 + b^2 = c^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9