Math Problem Statement

Area of a right triangle

Solution

The area AA of a right triangle can be calculated using the following formula:

A=12×base×heightA = \frac{1}{2} \times \text{base} \times \text{height}

Here:

  • Base is one of the two sides that form the right angle.
  • Height is the other side that forms the right angle.

Example:

If a right triangle has a base of 6 units and a height of 8 units, its area is:

A=12×6×8=24 square unitsA = \frac{1}{2} \times 6 \times 8 = 24 \text{ square units}

Would you like more details or have any questions?


Here are 5 related questions you might find interesting:

  1. How do you find the hypotenuse of a right triangle?
  2. How do you calculate the perimeter of a right triangle?
  3. Can you derive the area of an equilateral triangle?
  4. How do you apply trigonometry to find missing sides of a right triangle?
  5. How can you find the area of a right triangle using coordinates?

Tip: In a right triangle, the two sides forming the right angle are always the base and height, regardless of how the triangle is oriented.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles

Formulas

Area of a right triangle: A = 1/2 × base × height

Theorems

Right triangle properties

Suitable Grade Level

Grades 6-8