Math Problem Statement
Solution
To find the length of side in the right triangle, we can use the Pythagorean theorem, which states:
where and are the lengths of the legs, and is the length of the hypotenuse. In this triangle, the hypotenuse is 8, one leg is 6, and we are looking for the length of the other leg, .
Rearranging the Pythagorean theorem to solve for , we have:
Calculating this, we find :
Thus, the length of side is approximately 5.29, rounded to the nearest hundredth.
Would you like to know more about how this calculation works or have any other questions? Here are some related topics you might find interesting:
- Can you explain why the Pythagorean theorem is applicable only to right triangles?
- How do you find the area of this triangle?
- What would the length of the hypotenuse be if the other two sides were different?
- Can you show how the Pythagorean theorem is derived?
- Are there any applications of the Pythagorean theorem in real life?
Tip: Remember that when using the Pythagorean theorem, always double-check that the triangle is a right triangle and that you are using the correct side as the hypotenuse, which is always the longest side.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
Pythagorean Theorem: a^2 + b^2 = c^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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