Math Problem Statement
Solution
This is a right triangle problem where the lengths of two sides are given, and we are tasked with finding the hypotenuse .
We can solve this using the Pythagorean theorem, which states: Where and are the legs of the triangle, and is the hypotenuse.
In this case:
Now, let's compute the value of :
Thus, the length of the hypotenuse is 15 units.
Would you like further details on this, or have any other questions?
Related Questions:
- How does the Pythagorean theorem apply to non-right triangles?
- What happens if both legs of the triangle are equal? How does it affect the hypotenuse?
- Can the Pythagorean theorem be applied to triangles in three-dimensional geometry?
- How would you find the area of the triangle given its sides?
- How do you calculate the sine, cosine, and tangent for this triangle?
Tip:
In right triangles, the Pythagorean theorem is only valid when dealing with 90-degree angles. Always ensure the triangle is right-angled before applying it.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangle
Pythagorean Theorem
Formulas
c^2 = a^2 + b^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9
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