Math Problem Statement

  1. Label ( name) the legs and the hypotenuse of the big right triangle.
Label (name) the legs and the hypotenuse of the big right triangle.

Solution

In the given right triangle ABC\triangle ABC:

  1. Hypotenuse: The longest side opposite the right angle is ABAB.
  2. Legs: The two shorter sides forming the right angle are:
    • ACAC (vertical leg).
    • BCBC (horizontal leg).

Would you like a detailed explanation about these labels or how to apply the Pythagorean theorem to this triangle?

Related Questions:

  1. What is the relationship between the sides AB,BC,AB, BC, and ACAC using the Pythagorean theorem?
  2. How can the altitude (the black line) divide ABC\triangle ABC into smaller triangles?
  3. What geometric properties are preserved in the smaller triangles created by the altitude?
  4. Can the altitude's length be calculated if the lengths of AB,BC,AB, BC, and ACAC are known?
  5. How does the area of ABC\triangle ABC relate to its base and height?

Tip:

The hypotenuse is always the side opposite the right angle and is the longest side of any right triangle.

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Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangles

Formulas

Pythagorean theorem: a² + b² = c²

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 6-8