{"id":1985,"date":"2024-04-17T19:19:33","date_gmt":"2024-04-17T19:19:33","guid":{"rendered":"https:\/\/domath.surju.ee\/?page_id=1985"},"modified":"2025-01-02T19:43:44","modified_gmt":"2025-01-02T19:43:44","slug":"triangle","status":"publish","type":"page","link":"https:\/\/domath.surju.ee\/es\/triangle\/","title":{"rendered":"Triangle"},"content":{"rendered":"

Triangle<\/strong><\/span><\/h1>\n

A triangle<\/strong><\/span> is a plane figure with three straight sides and three angles. The angle formed inside the triangle<\/strong> is equal to 180 degrees. It means that the sum of the interior angles of a triangle<\/strong> is equal to 180\u00b0.<\/p>\n

A triangle<\/strong> <\/span>is a plane figure with three straight sides and three angles. The angle formed inside the triangle<\/strong> is equal to 180 degrees. It means that the sum of the interior angles of a triangle<\/strong> is equal to 180\u00b0.<\/p>\n

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Types of Triangle<\/span><\/strong><\/h5>\n

Based on the angles and side length, the triangles are classified into six types.<\/p>\n\n\n\n
Based on the length of the sides, the triangle is classified into:<\/strong><\/span>\n\n\n\n\n\n
\"\"\"\"<\/td>\nScalene Triangle<\/span><\/strong><\/em> – \u00a0 All the sides of a triangle <\/span>of different lengths, no equal angles and sides.<\/td>\n<\/tr>\n
\"\"<\/td>\nIsosceles Triangle<\/strong>\u00a0<\/span> – Two sides of\u00a0 equal length and two egual angles. An isosceles triangle also has two angles of the same measure, the angles opposite to the two sides of the same length.<\/td>\n<\/tr>\n
\"\"<\/td>\nEquilateral Triangle<\/strong>\u00a0<\/span> – Three sides of the same length. An equilateral triangle is also a regular polygon\u00a0with all angles measuring 60\u00b0.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
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Based on the angles, the triangles are classified as:<\/strong><\/span><\/p>\n\n\n\n\n\n
\"\"<\/span><\/strong><\/td>\nAcute Angle Triangle<\/span><\/strong> \u2013 All the angles of a triangle are less than 90 degrees<\/span><\/td>\n<\/tr>\n
\"\"<\/span><\/td>\nObtuse Angle Triangle<\/span><\/strong> \u2013 One of the angles of a triangle is greater than 90 degrees<\/span><\/td>\n<\/tr>\n
\"\"<\/td>\nRight<\/span><\/strong><\/span> Angle Triangle<\/span><\/strong> \u2013 One of the angles of a triangle is equal to 90 degrees<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
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Area and Perimeter<\/span><\/strong><\/h5>\n

\u00a0\u00a0<\/strong><\/span><\/p>\n\n\n\n
\"\"<\/td>\n\n\n\n\n\n\n
Area of Triangle = 0.5 x base x <\/strong><\/span>height<\/strong><\/span><\/td>\n<\/tr>\n
\"\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n
\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
a<\/strong><\/span> is the length<\/strong> of the base of the triangle, and h<\/span><\/strong> is the height<\/strong> or altitude of the triangle.\n\n\n\n\n
The term \u00abbase\u00bb<\/strong> denotes any side, and \u00abheight\u00bb<\/strong> denotes the length of a perpendicular from the vertex opposite the base onto the line containing the base.<\/td>\n<\/tr>\n
\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\n\n\n\n\n\n
\u00a0<\/td>\n<\/tr>\n
Area of Triangle = 0.5 x cathetus x <\/strong><\/span>cathetus<\/strong><\/span>\n\n\n\n\n
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\"\"<\/p>\n

a<\/strong><\/span> is the length<\/strong> of the base of the triangle, and b<\/strong><\/span> is the height<\/strong> or altitude of the triangle.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n

\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
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\"\"<\/p>\n<\/td>\n

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Perimeter of Triangle = side + side + side<\/strong><\/span><\/p>\n\n\n\n\n
\"\"<\/td>\n<\/tr>\n
\"\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
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Sum of Angles of a Triangle<\/span><\/strong><\/h5>\n\n\n\n
\"\"\"\"<\/td>\n\n

In a Euclidean space, the sum\u00a0of angles of a triangle<\/strong>\u00a0<\/span>equals a\u00a0straight angle<\/strong>\u00a0(180\u00a0degrees)<\/strong><\/p>\n\n\n\n\n
\"\"<\/td>\n<\/tr>\n
\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n