Triangle Area Calculator
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: #f8f9fa;
color: #333;
line-height: 1.6;
margin: 0;
padding: 20px;
}
.loan-calc-container {
max-width: 700px;
margin: 30px auto;
background-color: #ffffff;
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
border: 1px solid #e0e0e0;
}
h1, h2 {
color: #004a99;
text-align: center;
margin-bottom: 25px;
}
.input-group {
margin-bottom: 20px;
display: flex;
align-items: center;
gap: 15px;
flex-wrap: wrap;
}
.input-group label {
display: block;
margin-bottom: 5px;
font-weight: bold;
color: #004a99;
flex-basis: 120px; /* Fixed width for labels */
flex-shrink: 0;
}
.input-group input[type="number"] {
padding: 10px 12px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 1rem;
flex-grow: 1;
min-width: 150px;
}
.input-group input[type="number"]:focus {
border-color: #004a99;
outline: none;
box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.2);
}
.btn-calculate {
display: block;
width: 100%;
padding: 12px 20px;
background-color: #004a99;
color: white;
border: none;
border-radius: 4px;
font-size: 1.1rem;
font-weight: bold;
cursor: pointer;
transition: background-color 0.3s ease;
margin-top: 15px;
}
.btn-calculate:hover {
background-color: #003b7f;
}
#result {
margin-top: 30px;
padding: 20px;
background-color: #e7f3ff; /* Light blue background for result */
border: 1px solid #b3d7ff;
border-radius: 5px;
text-align: center;
}
#result h3 {
margin-top: 0;
color: #004a99;
font-size: 1.3rem;
}
#result-value {
font-size: 2.5rem;
font-weight: bold;
color: #28a745; /* Success Green for the value */
}
.article-content {
margin-top: 40px;
padding: 25px;
background-color: #ffffff;
border-radius: 8px;
box-shadow: 0 2px 10px rgba(0, 0, 0, 0.05);
border: 1px solid #e0e0e0;
}
.article-content h2 {
text-align: left;
color: #004a99;
margin-bottom: 15px;
}
.article-content p, .article-content ul, .article-content ol {
margin-bottom: 15px;
}
.article-content h3 {
color: #004a99;
margin-top: 20px;
margin-bottom: 10px;
}
@media (max-width: 600px) {
.input-group {
flex-direction: column;
align-items: stretch;
}
.input-group label {
flex-basis: auto;
text-align: left;
}
.loan-calc-container {
padding: 20px;
}
#result-value {
font-size: 2rem;
}
}
Understanding How to Calculate the Area of a Triangle
Calculating the area of a triangle is a fundamental concept in geometry with wide-ranging applications in design, engineering, architecture, and everyday problem-solving. The area represents the amount of two-dimensional space enclosed within the triangle's boundaries.
The Basic Formula
The most common and straightforward formula for calculating the area of a triangle is:
Area = 0.5 × base × height
Where:
- Base (b): Any side of the triangle can be chosen as the base.
- Height (h): The perpendicular distance from the vertex opposite the base to the base itself (or an extension of the base).
This formula works for all types of triangles: scalene, isosceles, equilateral, right-angled, acute, and obtuse. The key is to correctly identify the base and its corresponding perpendicular height.
How the Calculator Works
Our Triangle Area Calculator uses this precise formula. You simply need to input the length of the triangle's base and its corresponding perpendicular height into the fields above. The calculator then multiplies these two values and divides the result by two to give you the area.
When is This Useful?
Calculating triangle areas is essential in many scenarios:
- Construction and DIY: Determining the amount of material needed for triangular sections of walls, roofs, or gardens.
- Graphic Design and Art: Creating or analyzing shapes and layouts.
- Mapping and Surveying: Calculating land areas that can be divided into triangular sections.
- Physics and Engineering: Used in various calculations involving forces, displacement, and structural components.
- Education: A fundamental tool for learning geometry.
Example Calculation:
Let's say you have a triangle with a base of 10 units and a height of 5 units.
Using the formula: Area = 0.5 × 10 × 5 = 25 square units.
If you input "10" for the Base Length and "5" for the Height in our calculator, it will correctly output "25".
Other Triangle Area Formulas (Advanced)
While the base-height formula is the most common, there are other ways to calculate a triangle's area depending on the information you have:
- Heron's Formula: If you know the lengths of all three sides (a, b, c). First, calculate the semi-perimeter (s = (a+b+c)/2). Then, Area = sqrt(s(s-a)(s-b)(s-c)).
- Trigonometric Formula: If you know two sides (a, b) and the included angle (C). Area = 0.5 × a × b × sin(C).
This calculator specifically uses the base and height method for simplicity and common usage.
function calculateTriangleArea() {
var baseInput = document.getElementById("base");
var heightInput = document.getElementById("height");
var resultDiv = document.getElementById("result");
var resultValueDiv = document.getElementById("result-value");
var base = parseFloat(baseInput.value);
var height = parseFloat(heightInput.value);
if (isNaN(base) || isNaN(height) || base <= 0 || height <= 0) {
resultValueDiv.textContent = "Invalid input";
resultDiv.style.display = "block";
resultValueDiv.style.color = "#dc3545"; /* Red for error */
return;
}
var area = 0.5 * base * height;
resultValueDiv.textContent = area.toFixed(2); /* Display with 2 decimal places */
resultDiv.style.display = "block";
resultValueDiv.style.color = "#28a745"; /* Success Green */
}