Triangle Calculator, Triangle Solver (by The Coordinates Of Vertices)

Triangle calculator VCPlease enter the coordinates of the three verticesA: B: C: To calculate the properties of a triangle when given the coordinates of its vertices, you can use the distance formula and the Law of Cosines. The distance formula is a mathematical formula used to calculate the distance between two points in a plane. It can be used to find the length of each side of a triangle, given the coordinates of the vertices. The distance formula is: d = √((x2 - x1)2 + (y2 - y1)2) Where d is the distance between the two points, (x1, y1) and (x2, y2) are the coordinates of the two points. Once you have the lengths of all three sides, you can use the Law of Cosines to find the measure of each angle in the triangle. The Law of Cosines states that: c2 = a2 + b2 - 2ab * cos γ where c is the length of the side opposite angle C, a and b are the lengths of the other two sides, and C is the measure of the angle opposite side c. You can use this formula to find the measure of each angle by plugging in the known side lengths and solving for the angle. The calculation continues of the unknown triangle parameters using the identical procedure as in the SSS triangle calculator.

Triangle in analytical problems:

  • Construct 8 Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati
  • A triangle 6 A triangle has vertices on a coordinate grid at H(-2,7), I(4,7), and J(4,-9). What is the length, in units, of vector HI?
  • Coordinate axes Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y.
  • Unit circle In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin and has coordinates (0,0) and point B has coordinates (1,0). The size of angle BOA is 151°. Determine the x-coordinate of point A.
  • The triangle 5 The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
  • XY triangle Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
  • Right triangle from axes A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?
  • Coordinates of vector Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
  • Intersection 74914 Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis.
  • X-coordinate 81737 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.
  • Quadrant four Which point is located in Quadrant IV? A coordinate plane. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6)
  • Equation of the circle Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4].
  • Points on circle The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
  • Coordinates of midpoint If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end?
  • Midpoint 4 If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end?
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  • triangle
  • right triangle
  • Heron's formula
  • The Law of Sines
  • The Law of Cosines
  • Pythagorean theorem
  • triangle inequality
  • similarity of triangles
  • The right triangle altitude theorem
See triangle basics on Wikipedia or more details on solving triangles. Triangle Calculator logo
  • Calculate Δ by 3 sides SSS
  • Δ SAS by 2 sides and 1 angle
  • Δ ASA by 1 side and 2 angles
  • Scalene triangle
  • Right-angled Δ
  • Equilateral Δ
  • Isosceles Δ
  • Δ SSA
  • Δ AAS
  • Δ by coordinates
  • List of triangles
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