Math Problem Statement

What is the area of the triangle below? (base = 8 cm, height = 3 cm)

Solution

To find the area of the triangle, we can use the formula for the area of a triangle:

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

From the image, the base of the triangle is 8 cm, and the height is 3 cm.

Substitute the values into the formula:

Area=12×8cm×3cm=12×24cm2=12cm2\text{Area} = \frac{1}{2} \times 8 \, \text{cm} \times 3 \, \text{cm} = \frac{1}{2} \times 24 \, \text{cm}^2 = 12 \, \text{cm}^2

Thus, the area of the triangle is 12 cm².

Would you like more details on this? Here are five related questions:

  1. What is the formula for the perimeter of a triangle?
  2. How do you calculate the area of a right-angled triangle?
  3. How can the Pythagorean theorem help find the hypotenuse of this triangle?
  4. What are other ways to calculate the area of a triangle using trigonometry?
  5. How do you find the area of an equilateral triangle?

Tip: Always ensure the height of a triangle is perpendicular to the base when applying the area formula.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle

Formulas

Area = (1/2) × base × height

Theorems

Basic Geometry Theorem

Suitable Grade Level

Grades 6-8