Math Problem Statement

What is the relationship between the sides of a right triangle labeled a, b, and c?

Solution

The image you've provided shows a right triangle with sides labeled aa, bb, and cc. In a right triangle, the longest side, opposite the right angle, is called the hypotenuse, labeled as cc. The other two sides, aa and bb, are the legs of the triangle.

The relationship between the sides of a right triangle is given by the Pythagorean Theorem:

a2+b2=c2a^2 + b^2 = c^2

Here:

  • aa and bb are the lengths of the legs,
  • cc is the hypotenuse.

Would you like to solve for one of these sides if we know the values for the other two, or do you have another question related to this triangle?

Feel free to provide values or ask further details.

Related Questions:

  1. How do you calculate the hypotenuse given aa and bb?
  2. What is the relation between the angles of a right triangle and its sides?
  3. How does the Pythagorean theorem apply in real-world scenarios?
  4. Can the Pythagorean theorem be used for non-right triangles?
  5. How would you calculate the area of this triangle if aa and bb are known?

Tip:

For quick calculations, remember that in common right triangles like the 3-4-5 triangle, the sides follow simple integer relationships.

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Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangles
Algebra

Formulas

a^2 + b^2 = c^2

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 7-10