Math Problem Statement

The image shows a triangle with a base of 20 meters and a height of 13 meters. What is the area of this triangle?

Solution

The image shows a triangle with a base of 20 meters (split into two 10-meter segments) and a height of 13 meters.

If you are asked to find the area of this triangle, the formula to use is:

Area=12×Base×Height\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}

Given:

  • Base = 20 meters
  • Height = 13 meters

Area=12×20×13=130square meters\text{Area} = \frac{1}{2} \times 20 \times 13 = 130 \, \text{square meters}

Would you like more details or further clarification?

Here are 5 related questions you can explore:

  1. What is the perimeter of the triangle?
  2. How would you find the length of the slanted sides using the Pythagorean theorem?
  3. What is the formula for the area of different types of triangles?
  4. How can you calculate the height if only the sides are given?
  5. What happens to the area if both the base and height are doubled?

Tip: When working with triangles, always check if the triangle is right-angled or not. It simplifies calculations using the Pythagorean theorem!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangles

Formulas

Area = (1/2) * Base * Height

Theorems

Pythagorean Theorem (if asked to calculate the slanted sides)

Suitable Grade Level

Grades 6-8