Math Problem Statement

Amy drew a triangle with a base of 26 feet and a height of 8 feet. What is the area of the triangle that Amy drew?

Solution

The area AA of a triangle is calculated using the formula:

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

Here, the base is 26 feet, and the height is 8 feet. Substituting these values into the formula:

A=12×26×8A = \frac{1}{2} \times 26 \times 8

A=12×208A = \frac{1}{2} \times 208

A=104square feetA = 104 \, \text{square feet}

Thus, the area of the triangle is 104 square feet.

Would you like a detailed explanation of this calculation or have any questions? Here are some related problems to consider:

  1. What would the area be if the height was doubled while keeping the base the same?
  2. How would the area change if both the base and height were halved?
  3. Can you calculate the base of a triangle if its area is 104 square feet and its height is 13 feet?
  4. What is the formula for the perimeter of a triangle if its side lengths are known?
  5. How can this area formula be derived from a rectangle's area formula?

Tip: Always double-check units (e.g., feet, meters) when solving area problems to ensure consistency.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle

Formulas

Area of a Triangle: A = (1/2) × base × height

Theorems

Triangle Area Formula

Suitable Grade Level

Grades 6-8