MTH 114 Lecture Notes - Lecture 37: Equilateral Triangle, Pythagorean Theorem, Triangle Inequality
Document Summary
The sum of any two sides of a triangle must be greater than the third side. If given two sides of a triangle, the length of the third side must lie between the difference and the sum of the two given sides. Allows you to determine the length of a third side when only given the lengths of two sides. Watch for imposter (non-right) triangles with similar lengths. One 90 angle (opposite the hypotenuse) and two 45 angles (opposite the two equal legs). 45 -> 45 -> 90 leg leg hypotenuse. 1 : 1 : 2 x : x : x 2. Equilateral triangle all three sides (and therefore, all three angles) are equal. Each angle is 60 (because all 3 angles must sum 180 ) 30-60-90 triangle two of these triangles, when put together, form an equilateral triangle. 30 -> 60 -> 90 short leg long leg hypotenuse. 1 : 3 : 2 x : x 3 : 2x.
