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xGeometry

Generic Triangle

Base
$$b$$
Height
$$h$$
Side
$${S}_{1}$$
Side
$${S}_{2}$$
Side
$${S}_{3}$$
Perimeter
$$2p$$
Semiperimeter
$$p$$
$$2p = {S}_{1} + {S}_{2} + {S}_{3}$$
Perimeter
$$A = \frac{b \times h}{2}$$
Area
$$b = \frac{A \times 2}{h}$$
$$h = \frac{A \times 2}{b}$$
$$A = \sqrt{p \times (p - {S}_{1}) \times (p - {S}_{2}) \times (p - {S}_{3}) }$$
Heron's Formula

Definition

A triangle is a polygon with three sides

Properties

  1. Generic Triangle's formulas are valid for any triangles
Generic Triangle
Generic Triangle Formulas
Data Formula
Perimeter 2p = S1 + S2 + S3
Area A = (b × h) / 2
Base b = (A × 2) / h
Height h = (A × 2) / b
Heron's Formula A = √[ p × (p - S1) × (p - S2) × (p - S3) ]