In R, points A(1, 0,2), B(-1, 8,3) and C(1, -1, 4) form the vertices of triangle ABC. Determine the area of the triangle ABC.

Q: Find, to the nearest degree, the three angles of the triangle with the given vertices. A(1,0,-1)…

A:

Q: If D is the triangle with vertices (0,0), (55,0), (55,49), then dA=

A: double integration

Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the…

A: Given: The vertices of a triangle are A, B and C The midpoints of the opposite sites are a, b, and c

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

A:

Q: If D is the triangle with vertices (0,0), (55,0), (55,60), then dA=

A:

Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(-3, 1) , (3, 4) ,…

A: Given:       Vertices of triangle -3,1 , 3,4 , -1,-3       For perimeter of triangle , we have to…

Q: Let A(1, 1, 1), B(3, 2, 1), C(4, 2, 3), D(2, 1, 3) be the four vertices of a parallelogram. (a)…

A: Parallelogram is a simple quadrilateral with two pairs of parallel sides and opposite angles of a…

Q: Show that the points (-2, 4), (3, -1), (-1, -3) are the vertices of an isosceles triangle, and find…

A: Let the given points be - A = -2, 4B = 3, -1C = -1, -3Now, Let's find the distance AB between point…

Q: 7. Find measures of the angles of the triangle whose vertices are A =' -(-3, 2), B = (1,-1), C =…

A:

Q: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

A: The triangle D is with the vertices (0,0), (40,0) & (40,25). The line passing through (0,0) and…

Q: The parallelogram (ABCD) has vertices at A(2,-1, 4), B(1,0, -1).C(1,2,3), and D, then

A: Let A(2,-1,4) , B(1,0,-1) , C( 1,2,3) and D(x,y,z) Let AC be one diagonal and BD be another…

Q: Consider the points P = (8,6, −8), Q = (8, 0, 8), R = (0, 6, 8) to be vertices of a triangle. What…

A:

Q: ind the area of the parallelogram with vertices A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

A:

Q: Find the lengths of the sides of the triangle with the indicated vertices (4, −1, −1), (2, 0, −4),…

A:

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: Show that the points A = (3, 4), B = (1, 1), and C = ( - 2, 3) are the vertices of an isosceles…

A: Given: Points are A = (3, 4), B = (1, 1), and C = ( - 2, 3)

Q: Find the areas of the triangles whose vertices are given A(0, 0), B(-2, 3), C(3, 1)

A: Given vertices of triangle are A0,0, B-2,3 and C3,1 Area of triangle with vertices x1,y1,x2,y2 &…

Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

A:

Q: Find the area of the triangle with vertices (4, -1), (13, 1), and (6, 8). Area =

A:

Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…

A:

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C =…

A:

Q: Show that the points A(2, 3), B(4, 9), and C(-2, 7) are the vertices of an isosceles triangle. Find…

A: The triangle is as below:

Q: Find the lengths of the sides of the triangle with the indicated vertices           (3, 4, 1), (0,…

A: Let A3,4,1, B0,6,2 and C3,5,6 be the vertices of the vertices of the triangle ∆ABC. Substitute 3 for…

Q: Find the lengths of the sides of the triangle with the indicated vertices        (−1, 0, −2), (−1,…

A: We know the formula for distance between two points x1,y1,z1 and x2,y2,z2 is x2-x12+y2-y12+z2-z12 We…

Q: On a coordinate plane, triangle FGH is formed with the vertices at point F(4, 2), point G(4, 6), and…

A: We have given that F(4, 2), G(4, 6) and H(6, 4).

Q: Find the area of the triangle having the given vertices. (-1, 6), (0, 6), (2, 10)

A: Just I have used the area of triangle formula with given vertices and easily find the required…

Q: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

A:

Q: What is the area of the triangle ABC with vertices A(1,2,3), B(2, 4, 3), C(1,2, 0) ?

A:

Q: Consider Triangle ABC, graphed in the coordinate plane. y 4 2 B 1 4-3-2-} -6-5-4-3 -2 -1 0 23 4 5 6…

A:

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A:

Q: Let three vertices of a triangle be ?(4, 0, 1), ?(1, 5, 2), and ?(−4, 1, −3). What is the area of…

A:

Q: Determine the area of the triangle with vertices A(1, 2, 3), B(−1, 1, 1) and C(1, 0, 4)

A: area of the triangle

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

A:

Q: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: Find the circumcenter and circum-radius of the triangle whose vertices are (0,0),(8,0) and (0,6).…

A: The given vertices are 0,0,8,0 and 0,6.

Q: If D is the triangle with vertices (0,0), (82,0), (82,37), then dA=

A: Solved below

Q: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

A:

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, –1), B = (4, 5, 1), C =…

A:

Q: Find the lengths of the sides of the triangle with the indicated vertices (0, 0, 4), (2, 6, 7), (6,…

A: we have been given the vertices of the triangle (0, 0, 4), (2, 6, 7), (6, 4, −8). we have to…

Q: Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with…

A: Given points  A(3,-1,2) B(2,1,5) C(1,-2,-2)

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

A:

Q: Find the coordinates of the circumcenter of triangle ABC with A(6,2), B(-2,2), C(6,-4).

A: Consider the triangle ABC with three vertices: A(6,2), B(-2,2) and C(6,-4). The problem requires to…

Q: Find the perimeter of the polygon ABCD that has its vertices at A(2, -2), B(6, -2), C(6, 6), and…

A: NOTE: Refresh your page if you can't see any equations. . . find the length of AB to find the…

Q: Determine whether AABC, with vertices A(0, 0, 0), B(1, 2, 4), and C(0, 0, 8), is an isosceles…

A: we have to determine whether ∆ABC, with vertices A(0,0,0), B(1,2,4) and C(0,0,8) is an isosceles…

Q: Classify the triangle PEN as scalene, isosceles, or equilateral from the given vertices. P(4, 7),…

A: We have been given the coordinates of a triangle  P(4, 7) E(6, 2) N(5, -2)

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.