Vertex points

Given the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area.

Correct answer:

S =  84

Step-by-step explanation:

Px=12;Py=6 Qx=4;Qy=0 Rx=8;Ry=6  r=(PxQx)2+(PyQy)2=((12)4)2+(60)2=2 7317.088 p=(RxQx)2+(RyQy)2=((8)4)2+((6)0)2=6 513.4164 q=(RxPx)2+(RyPy)2=((8)(12))2+((6)6)2=4 1012.6491  s=r+p+q2=17.088+13.4164+12.6491221.5768  S=s (sr) (sp) (sq)=21.5768 (21.576817.088) (21.576813.4164) (21.576812.6491)=84

Try calculation via our triangle calculator.




Did you find an error or inaccuracy? Feel free to write us. Thank you!






avatar




Tips to related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Pythagorean theorem is the base for the right triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions:

  • Isosceles triangle
    rr_triangle3 In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C.
  • Hyperbola
    hyperbola Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6].
  • Four sides of trapezoid
    lichobeznik2 Trapezoid is given by length of four sides: 40.5 42.5 52.8 35.0. Calculate its area.
  • Inscribed circle
    Su55k02_m10 Write the equation of a incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].
  • Rectangle 39
    rectnagles Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)
  • Three points
    triangle_rt_taznice Three points K (-3; 2), L (-1; 4), M (3, -4) are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write the d
  • Vertices of a right triangle
    right_triangle Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
  • One trapezium
    trapezium One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area.
  • Quadrilateral 2
    quadrilateral Show that the quadrilateral with vertices P1(0,1), P2(4,2) P3(3,6) P4(-5,4) has two right triangles.
  • Touch x-axis
    touch_circle Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
  • On line
    primka On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
  • Vertices of RT
    RightTriangleMidpoint Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
  • A Cartesian framework
    .Cartesian-coordinate-system 1. In a Cartesian framework, the functions f and g we know that: the function (f) is defined by f (x) = 2x ^ 2, the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, point (C) is the point of intersection of the graph
  • Sphere equation
    sphere2.jpg Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
  • Construction
    taznice7 Construction the triangle ABC, if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60° and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)
  • Is right triangle or not
    triangle_rt1 If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
  • Calculate 6
    distance_point_line Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].