# Triangle calculator VC

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:

c

^{2}= a

^{2}+ b

^{2}- 2ab * cos(C)

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? - XY triangle

Determine the area of a triangle given by line 7x+8y-69=0 and coordinate axes x and y. - Coordinate axes

Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - 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? - 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? - 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. - Coordinates of vector

Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - 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. - Intersections

Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - 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 - Rectangular 75334

In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5] - 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?

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#### Look also at our friend's collection of math problems and questions:

- 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