Math Problem Statement
correct answer
Solution
To find the missing segment, labeled with a "?", we can use the Pythagorean theorem, as the image forms a right triangle.
Given:
- Hypotenuse
- One leg
The length of the missing segment, , can be found using the Pythagorean theorem formula:
Calculation:
- Substitute the known values:
- Calculate the squares:
- Rearrange to solve for :
- Take the square root of both sides:
Therefore, the missing segment is approximately 23.05.
Would you like further explanation on this?
Here are 5 related questions for further practice:
- How would the answer change if the hypotenuse was increased?
- What if the known leg was longer than the hypotenuse?
- Can the Pythagorean theorem apply to any triangle?
- How does this triangle relate to trigonometric ratios?
- How would you find the angles if all sides are known?
Tip: In right triangles, always check if you have two sides given to use the Pythagorean theorem effectively.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
c^2 = a^2 + b^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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