Area of a Triangle Calculator

This Area of a Triangle Calculator helps you find the space inside a triangle when the base and height are known. It uses the formula \(A = \tfrac{1}{2}bh\), where \(b\) is the base, \(h\) is the height, and the answer is written in square units. Multiply the base by the height, then divide by \(2\) to get the area. It is a simple way to check answers, understand the triangle area formula, and practise basic geometry step by step.

In the diagram, the base is \(b\) and the height is \(h\).

Step-by-step method

1. Identify what is given.
2. Write the formula.
3. Substitute the values and calculate the area.

Formula:

Example 1:

Step 1 - Identify what is given.

In this problem: The given values are \(b = 5\) and \(h = 3\).

Step 2 - Write the formula.

In this problem: Use the triangle area formula: \(A = \tfrac{1}{2}bh\).

Step 3 - Substitute the values and calculate the area.

In this problem: Substitute \(b = 5\) and \(h = 3\): \(A = \tfrac{1}{2} \times 5 \times 3 = 7.5\).

Final answer:

Example 2:

Step 1 - Identify what is given.

In this problem: The given values are \(b = 7.5\) and \(h = 2\).

Step 2 - Write the formula.

In this problem: Use the triangle area formula: \(A = \tfrac{1}{2}bh\).

Step 3 - Substitute the values and calculate the area.

In this problem: Substitute \(b = 7.5\) and \(h = 2\): \(A = \tfrac{1}{2} \times 7.5 \times 2 = 7.5\).

Final answer: