Math Problem Statement

Use the Pythagorean theorem to find the length of the missing side

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 33, the hypotenuse is 55, and the other leg is missing.

Solution:

The Pythagorean theorem states: a2+b2=c2a^2 + b^2 = c^2 Here, cc is the hypotenuse, and aa and bb are the two legs. Substituting the given values: 32+b2=523^2 + b^2 = 5^2

  1. Square the known values: 9+b2=259 + b^2 = 25

  2. Isolate b2b^2: b2=259b^2 = 25 - 9 b2=16b^2 = 16

  3. Take the square root of both sides: b=16=4b = \sqrt{16} = 4

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:

  1. How can you verify if a triangle is a right triangle using side lengths?
  2. Can the Pythagorean theorem be used in 3D geometry?
  3. What happens if the hypotenuse is missing in a problem?
  4. How do you determine the area of a right triangle using side lengths?
  5. 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