Perimeter:
The perimeter of a triangle is the sum of the lengths of its sides.
Given sides:

• One side = 8 cm
• Second side = 7.25 cm
• Third side = 14 cm
  Calculate the perimeter:
  \[\text { Perimeter} = 8 \space \text { cm} + 7.25 \space \text { cm} + 14 \space \text { cm} = 29.25 \space \text { cm} \]
• *Area:**
  The area of a triangle is given by:
  \[\text { Area} = \frac { 1} { 2} \times \text { base} \times \text { height} \]
  Given:
• Base = 14 cm
• Height = 6 cm
  Calculate the area:
  \[\text { Area} = \frac { 1} { 2} \times 14 \space \text { cm} \times 6 \space \text { cm} = \frac { 1} { 2} \times 84 \space \text { cm} ^ 2 = 42 \space \text { cm} ^ 2\]

Supplemental Knowledge

• To find the perimeter and area of a triangle, you need to understand the basic formulas and how to apply them.

1. Perimeter of a Triangle:
   • The perimeter is the sum of all the sides.
   • Formula: \(\text { Perimeter} = a + b + c\)
2. Area of a Triangle:
   • The area can be found using the base and height.
   • Formula: \(\text { Area} = \frac { 1} { 2} \times \text { base} \times \text { height} \)

Practical Insights

• Understanding how to calculate the perimeter and area of triangles is useful in various real-world applications, such as construction, architecture, and even in designing objects like furniture or art pieces.

You can also use our Geometry calculator to solve this. For more detailed explanations on geometry and other mathematical concepts check out UpStudy’s live tutor question bank or AI-powered problem-solving services! These resources can help you master complex topics and apply them effectively in real-world scenarios.