Tutor Pace-Triangle

Tutor Pace-Triangle On a plane figure when three lines intersect each other at their last end is called a triangle. The end place where lines intersect to other lines, makes a corner. These corners makes an angle. In a triangle there are only three corners and three angles. The sum of all the three angles in a triangle is 180. There are 3 types of triangles: 1) Acute angled triangle All the angles in a acute angled triangle are 90. 2) Right angled triangle One of the angles in a right angled triangle is 90 3) Obtuse angled triangle One of the angles in an obtuse angled triangle is 90 Example 1: Two angles of a triangle measures 59 and 85. Find the remaining angle? Answer: Sum of all the angles in a triangle is 180. 59 + 85 + x = 180 144 + x = 180 x = 36 Hence the third angle is 36. Example 2: The three angles of a triangle measure (3x) , (4x 8) , (3x 2) . Find x and all the three angles. Answer: 3x + 4x 8 + 3x 2 = 180 10x 10 = 180 10x = 190 x = 19 First angle = 3x = 3(19) = 57 Second angle = 4x 8 = 4(19) 8 = 76 8 = 68 Third angle = 3x 2 = 3(19) 2 = 57 2 = 55