Example 1
\(b = 8, h = 6 \rightarrow A = 0.5 \times 8 \times 6 = 24\text{ units}^2\)
Triangle Area Calculator
Calculate the area of a triangle using base and height with detailed step-by-step solution.
Results
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Theory & Formula
The area of a triangle is the space enclosed by its three sides. It's calculated using the base and height.
The area A of a triangle with base b and height h is given by:
\(A = \frac{1}{2} \times b \times h\)
This formula works because a triangle is essentially half of a parallelogram with the same base and height.
Alternative formulas
- From sides and included angle:
A = (1/2)ab sin C - From three sides (Heron's formula):
A = √(s(s-a)(s-b)(s-c)), wheres = (a+b+c)/2
\(A = \frac{1}{2} \times b \times h\)
Worked Examples
Example 2
\(b = 15, h = 4 \rightarrow A = 0.5 \times 15 \times 4 = 30\text{ units}^2\)
Heron's Formula
\(A = \sqrt{s(s-a)(s-b)(s-c)}\) \text{ where } \(s = \frac{a+b+c}{2}\)