Introduction

An isosceles triangle is a triangle that has two sides of equal length.

An acute triangle is a triangle in which all three interior angles are less than 90°.

An obtuse triangle is a triangle in which one of the interior angles is more than 90°.

An equilateral triangle is a triangle in which all three sides have the same length.

All three angles of an equilateral triangle are 60°.

A right triangle is a triangle in which one angle is 90°.

A 90° angle is called a "right angle".

The relation between the sides and angles of a right triangle is the basis for trigonometry.

The sum of the interior angles of a triangle equals 180°.

Isosceles Triangle

Project #1

Create an isosceles triangle calculator with a menu interface. For example ...

1. The user selects what isosceles triangle data they will enter
   • Note: Angles are assumed to be interior angles.
   • two angles and the side between them (angle side angle)
   • two sides and the angle between them (side angle side)
   • three sides (side side side)
2. ask the user to enter the data
3. verify the data
   • Negative and zero values are not allowed
   • (angle side angle) the sum of two angles must be less than 180°
   • (side angle side) the angle must be less than 180°
   • (side side side) the sum of the two smaller sides must be greater than the longest side
   • (side side side) two of the sides must be equal
4. calculate the parts of the isosceles triangle (a, b, α, β)
5. display the triangle's parts
6. loop

See math hints

• try breaking the isosceles triangle into smaller right triangles
• for some situations the law of cosines may work
• for other situations the law of sines may work

Project #2

Create a GUI for the calculator. See PySimpleGUI .

Project #3

Create a right triangle calculator?
Create a acute triangle calculator?
Create a obtuse triangle calculator?
Create a calculator for all triangles?

Links

Triangle (Wikipedia)

Right triangle (wikipedia)

Euclidean geometry (Wikipedia)

Non-Euclidean geometry (Wikipedia)