Math Problem Statement

What is the area of the triangle with a base of 4 units and a height of 10 units?

Solution

To calculate the area of the triangle, the formula is:

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

From the image:

  • The base of the triangle is 44 units.
  • The height of the triangle is 1010 units.

Substituting these values into the formula:

Area=12×4×10=20units2\text{Area} = \frac{1}{2} \times 4 \times 10 = 20 \, \text{units}^2

Final Answer:

The area of the triangle is 20 units².

Would you like a detailed breakdown or explanation of the steps?

Related Questions:

  1. How can the area of irregular triangles be calculated using other methods?
  2. What is the significance of the base and height in determining the triangle's area?
  3. Can the Pythagorean theorem be used to verify dimensions in this triangle?
  4. How does changing the base or height affect the area of a triangle?
  5. What are other ways to find the area of a triangle if angles are provided?

Tip:

Always ensure the base and height are perpendicular when using the area formula for triangles.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle

Formulas

Area = 1/2 × base × height

Theorems

Basic Triangle Area Calculation

Suitable Grade Level

Grades 6-8