Math Problem Statement
Solution
To determine the length of the hypotenuse in this right triangle, we use the Pythagorean Theorem:
Here, both legs of the triangle are . Substituting these values:
Now take the square root of both sides:
Approximating this:
Thus, the length of the hypotenuse is 9.9 miles.
Would you like a detailed explanation of the steps or have further questions?
Here are 5 related questions for further practice:
- What is the hypotenuse of a right triangle with legs 5 mi and 12 mi?
- How does the Pythagorean Theorem apply to different types of right triangles?
- If one leg is 6 mi and the hypotenuse is 10 mi, how do you calculate the other leg?
- What are some real-life applications of the Pythagorean Theorem?
- How do you determine if a triangle is a right triangle using side lengths?
Tip: Always double-check your calculations when applying the Pythagorean Theorem, especially when dealing with square roots!
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Formulas
Pythagorean Theorem
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9
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