Right Triangle Formulas

$$2p = i + c_{1} + c_{2}$$

Perimeter

$$A = \frac{c_{1} \times c_{2}}{2}$$

Area

$$c_{1} = \frac{A \times 2}{c_{2}}$$

$$c_{2} = \frac{A \times 2}{c_{1}}$$

$$A = \frac{i \times h}{2}$$

Area

$$i = \frac{A \times 2}{h}$$

$$h = \frac{A \times 2}{i}$$

$$i = \sqrt{ {c_{1}}^2 + {c_{2}}^2 }$$

Pythagoras' theorem

$$c_{1} = \sqrt{ {i}^2 - {c_{2}}^2 }$$

$$c_{2} = \sqrt{ {i}^2 - {c_{1}}^2 }$$

$$i : c_{1} = c_{1} : p_{1}$$

$$i : c_{2} = c_{2} : p_{2}$$

$$p_{1} : h = h : p_{2}$$

$$i = c \sqrt{2}$$

$$c = \frac{i}{\sqrt{2}}$$

$$A = \frac{{c}^2}{2}$$

$$A = \frac{{i}^2}{4}$$

$$c = \sqrt{2A}$$

$$i = c_{1} \times 2$$

Hypotenuse

$$c_{1} = \frac{i}{2}$$

Minimum Cathetus

$$c_{2} = c_{1} \sqrt{3}$$

Maximum Cathetus

$$c_{1} = \frac{c_{2}}{\sqrt{3}}$$

Minimum Cathetus

$$c_{2} = i \frac{\sqrt{3}}{2}$$

Maximum Cathetus

$$i = c_{2} \frac{2}{\sqrt{3}}$$

Hypotenuse

Definition

The right triangle is a triangle with a right angle (90 degree).