Math Problem Statement

Work out the area of the triangle below. (Base = 16 cm, Height = 6 cm).

Solution

To calculate the area of the triangle in the given image, 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}

Given:

  • The base of the triangle is 16cm16 \, \text{cm}.
  • The height of the triangle is 6cm6 \, \text{cm}.

Calculation:

Area=12×16×6=12×96=48cm2\text{Area} = \frac{1}{2} \times 16 \times 6 = \frac{1}{2} \times 96 = 48 \, \text{cm}^2

Final Answer:

The area of the triangle is 48 cm².

Would you like a step-by-step explanation or have any further questions?


Here are 5 related questions for practice:

  1. How would the area change if the height of the triangle was doubled?
  2. Can you calculate the area of a triangle with a base of 12 cm and height of 9 cm?
  3. How does the formula for the area of a triangle compare to that of a rectangle?
  4. What is the area of a triangle if only the lengths of its three sides are given?
  5. Can the triangle's height be perpendicular to a side other than the base?

Tip: Always ensure the height used in the calculation is perpendicular to the base!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a triangle = 1/2 × base × height

Theorems

Basic Geometry

Suitable Grade Level

Grades 5-7