Math Problem Statement

Find the area of the triangle with base 13 meters and height 4 meters using the formula: Area = 1/2 * base * height.

Solution

The image provides the problem of finding the area of a triangle, where the formula is given as:

Area=12baseheight\text{Area} = \frac{1}{2} \cdot \text{base} \cdot \text{height}

In this case, the base of the triangle is 13m13 \, \text{m} and the height is 4m4 \, \text{m}.

Using the formula:

Area=1213m4m\text{Area} = \frac{1}{2} \cdot 13 \, \text{m} \cdot 4 \, \text{m}

Let me calculate that.The area of the triangle is 26m226 \, \text{m}^2.

Would you like more details or have any other questions?

Here are some related questions you might find interesting:

  1. How would the area change if both the base and height were doubled?
  2. Can the Pythagorean theorem be applied to this triangle, and if so, how?
  3. How is the formula for the area of a triangle derived?
  4. What happens to the area if only the height is doubled while the base remains the same?
  5. What is the significance of the factor 12\frac{1}{2} in the area formula for triangles?

Tip: Always make sure to use the correct units when working with area formulas—here, meters squared m2\text{m}^2.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Area

Formulas

Area = (1/2) * base * height

Theorems

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Suitable Grade Level

Grades 6-8