Math Problem Statement

Work out the area of the triangle below. The base of the triangle is 16 cm, and the height is 6 cm.

Solution

To calculate the area of the given triangle:

  1. Identify the base and height:

    • The base of the triangle is 16cm16 \, \text{cm}.
    • The height of the triangle is 6cm6 \, \text{cm}.
  2. Use the formula for the area of a triangle: Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

  3. Substitute the values: Area=12×16×6\text{Area} = \frac{1}{2} \times 16 \times 6

  4. Simplify: Area=8×6=48cm2\text{Area} = 8 \times 6 = 48 \, \text{cm}^2

Final Answer:

The area of the triangle is 48cm248 \, \text{cm}^2.

Let me know if you'd like a more detailed breakdown!


5 Related Questions:

  1. How would the area change if the base was doubled while keeping the height the same?
  2. What formula would you use if the triangle were a right triangle with only its two shorter sides given?
  3. How can the Pythagorean theorem be used to verify the lengths in this diagram?
  4. How do you calculate the area if only the angles and two sides are given?
  5. If the height is halved, what would the new area of the triangle be?

Tip:

Always ensure that the base and height of a triangle are perpendicular to each other before using the area formula!

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Area calculation

Formulas

Area = 1/2 × base × height

Theorems

Basic geometry theorem for calculating triangle area

Suitable Grade Level

Grades 6-8