Similar results can be found for other small perimeters. If it is 5 then the middle side can be 5 if it is 6 then the middle side can be 5 or 6 if it is 7 then the middle side can be 4, 5, 6 or 7. So just add up the number of different shortest sides for each possible longest side.įor example with a perimeter of 15, the longest side must be 5, 6 or 7. Together these will tell you the shortest side. Now consider the middle sized side: it must be at least half the difference between the perimeter and the longest side, but cannot be longer than the longest side. ![]() So that gives you a limited set of values. ![]() So start with the longest side: it cannot be longer than or equal to half the perimeter, but it must be at least a third of the perimeter. See more information about triangles or more details on solving triangles.It rather depends on whether you regard 7,5,4 as the same triangle as 5,7,4 (edges in a different order), and whether you allow the triangles 8,8,0 (with a zero edge) or 8,5,3 (with a zero area). Look also at our friend's collection of math problems and questions: If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end? If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end? Write all the points on the circle I with center O and radius r=5 cm, whoseįind the equation of the circle inscribed in the rhombus ABCD where A, B, and C. Write all the points that lie on a circle k and whose coordinates are integers. The Cartesian coordinate system with the origin O is a sketched circle k /center O radius r=2 cm/. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6)įind the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 Which point is located in Quadrant IV? A coordinate plane. In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
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