Perimeter & Area of a Triangle

The area of a triangle is given by the formula: $$A = \frac{1}{2} \times base \times height$$ .

The perimeter of a triangle is the sum of the lengths of its three sides: $$P = a + b + c$$ .

You can rearrange the area formula: $$height = \frac{2 \times A}{base}$$ .

Area is measured in square units, such as square meters (m²), square centimeters (cm²), etc.

The base and height of a triangle are perpendicular to each other.

The area is $$A = \frac{1}{2} \times 10 \times 5 = 25 \text{ units}^2$$ .

The area is $$A = \frac{1}{2} \times 8 \times 6 = 24 \text{ units}^2$$ .

The perimeter is $$P = 3 + 4 + 5 = 12 \text{ units}$$ .

Heron's formula: $$A = \text{sqrt}(s(s-a)(s-b)(s-c))$$ where $$s = \frac{a+b+c}{2}$$ .

Heron's formula is used to find the area of a triangle when the lengths of all three sides are known.