Math Problem Statement
Solution
The image shows a right triangle with the hypotenuse labeled as and one of the legs labeled as . The length of the other leg is given as 10. The question appears to be asking for either or using the Pythagorean Theorem.
Step-by-Step Solution:
Let's denote:
- The length of the given leg as .
- The other leg as .
- The hypotenuse as .
By the Pythagorean Theorem:
If we are to solve for , we need more information. However, assuming that is what we need to find, we can solve the problem once we know .
Considerations for Choices:
The options provided are:
We are likely dealing with a multiple-choice problem where calculating and then substituting to find would lead to matching one of these choices. Let’s assume the triangle is a special 45-45-90 triangle:
- If it is, then would also be .
- The hypotenuse would then be .
Conclusion:
The correct answer appears to be: Option C: .
Would you like more details, or do you have any specific questions?
Follow-up Questions:
- How do you identify if a triangle is a 45-45-90 triangle?
- What is the Pythagorean Theorem, and how is it applied to right triangles?
- Can the hypotenuse of a right triangle ever be shorter than any of its legs?
- How do you rationalize square roots?
- What other properties apply to special triangles like 30-60-90 and 45-45-90 triangles?
Tip:
Remember that a 45-45-90 triangle always has legs of equal length, and the hypotenuse is times the length of one leg.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Special Triangles
Square Roots
Formulas
Pythagorean Theorem: a^2 = b^2 + c^2
Theorems
Pythagorean Theorem
Properties of 45-45-90 Triangles
Suitable Grade Level
Grades 8-10
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