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Mastering Triangles: Definitions, Types, and Properties

Discover the definition, types, and properties of triangles, including equilateral, isosceles, scalene, right, obtuse, and acute triangles. Learn about special lines of triangles, the sum of angles, perimeter, area, and more!

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Mastering Triangles: Definitions, Types, and Properties

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  1. Triangle

  2. Definition Triangel is a equilateral which have three straigh sides and three angles

  3. Types Of Triangel • Based on the length of the sides • Equilateral triangle is a triangel having three congruent sides • Isosceles triangel is a triangel having two congruent sides • Scalen triangle is a triangel having no congruent sides

  4. Based on measure of the angle • Right triangle is a triangle that has one 90° angle • Obtuse angle is triangle that has one obtuse angel, >90° • Acute triangel is a triangel that has three acute angel, <90° C A B

  5. Based on the angel two sides • Right isosceles triangle is a triangle that has one 90° angle and two equal sides • Obtuse isosceles triangle is a triangle that has one obtuse angle >90° and two equal sides • Acute isosceles triangle is a triangle that has one acute angle <90° and two equal sides

  6. The Sum Of A Triangle The sum of all angle in a triangle is 180° Example: X= 180°-(55°+65°) X= 60° Or X+55°+65°=180° X+120= 180° x=60° x 55 65

  7. The sum of two sudes in each triangle always more long from third side, if a, b, c, is triangle’s sides, so the all of them must fullfill a + b > c a +c + > b b +c > a

  8. Special Line Of Triangel • High line is line which interested from a vertex and upright with side in front of it • Devided line is line which devide a triangel’s vertex to two vertex same sides • weight line is lin which interested from a vertex to central point side in front of it • exist line is line which interestedfrom a central point side and upright with that side

  9. Perimeter and area of triangle P=a+b+c If P is perimeter of a triangle having the side a,b and c, then the perimeter of triangle can be stated as P=a+b+c a b c

  10. The exterior and interior angels of a triangle • An exterior angels of a triangle is an angles formed by the side of the of a triangle with the extension of the other side of triangle. • An interior angle of a triangle is an angle formed by the side of a triangle with the intension of the other side of the triangle

  11. U <T,<U, and <TSU are the interior angle of <RSU is the exterior angle of The measure of an exterior angle of a triangle is equal to the sum of two interior angles which aren’t supplementary to the exterior angle. R S T STU TSU

  12. THE......END

  13. MEMBERS: -IndraAulia Rahman (9) -Nurita A. Tyas (14) -Nurita A. Rizfa (15) -Realita Mustika Dewi (18) -Siswanto Adi Wijanarko (22)

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