Question

In geometry, a triangle is a closed two-dimensional plane figure with three sides and three angles.
Based on the interior angles of a triangle, there can be various types of triangles. They are Acute
angled triangle, Obtuse angled triangle and Right-angled triangle.
• Acute angle is an angle that is less than 90°.
• Obtuse triangles are those in which one of the three interior angles has a measure greater
than 90 degrees
• A right triangle is a triangle in which one of the angles is 90 degrees.
Write a C/Java program to find the types of triangle. Minimally, the C/Java program must
accept user inputs for a, b, c where a, b, c>0 for representing the angles with the following
conditions must be met :
Acute : a + b > c where a 90
Right angled : a + b = c , where a

Answer 1

Explanation:

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted {\displaystyle \triangle ABC}\triangle ABC.[1]

Equilateral triangle

Regular polygon 3 annotated.svg

A regular triangle

Type

Regular polygon

Edges and vertices

3

Schläfli symbol

{3}

Coxeter diagram

CDel node 1.pngCDel 3.pngCDel node.png

Symmetry group

Dihedral (D3), order 2×3

Internal angle (degrees)

60°

Dual polygon

Self

Properties

Convex, cyclic, equilateral, isogonal, isotoxal

Triangle

Triangle illustration.svg

A triangle

Edges and vertices

3

Schläfli symbol

{3} (for equilateral)

Area

various methods;

see below

Internal angle (degrees)

60° (for equilateral)

triangle, tri, three, angle

Triangle = Tri (three) + Angle

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted.