AJ Given the following points in space : A (3 ,-8,5),B (-7,6,11),C (12,3,-4) Find the area of the triangle formed by these points.

Q: Find the area of the triangle with vertices P(1, 3, –3), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

A: Here, PQ=Q-P=0,0,0-1,3,-3=-1,-3,3PR=R-P=4,5,1-1,3,-3=3,2,4

Q: Find the area of the triangle with vertices P(1, 4, -3), Q(0,0,0) and R(4,6, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 4, -3, Q0, 0, 0 and R4, 6, 1.

Q: Find the area of the triangle with vertices P(1,5, –2), Q(0, 0,0) and R(3, 5, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1,6, -5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,5, 1). NOTE: Enter the…

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Q: 04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse…

A: We have to check

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0,0) and R(2, 3, 1). NOTE: Enter the…

A: Find your answer below

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0,0) and R(3,5, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Distance formula: let us assume two points be A (x1,y1)and B (x2,y2)the distance AB is given as…

Q: Find the area of the triangle with vertices P(1, 4, -4), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices: Q (5,-5,0), R (5, -7, 2), and S (6, -2, 1)

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Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(0,1, 2), and C(-1,2,0) then find…

A: Given: The vertices of a triangle are A2, -3, 4, B0, 1, 2, and C-1, 2, 0. The area of a triangle…

Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

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Q: Find the area of the triangle determined by the points P(1, 1, 1), Q(-9, -10, -4), and R(-5, -7,-6).…

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Q: Prove that the figure with the coordinates given is a rectangle. A(– 7,2),B(2,8), C(6,2),D(– 3, –

A: on solving this we get the

Q: Find the measures of the angles of the triangle whose vertices are A = (7, 2, 4), B = (4, 3, 4), and…

A: Angle of triangle using vectors

Q: 4. Which pair of coordinates has a midpoint of (8, 3)? (-8, 4) and (8, -2) O (-5, -8) and (-11, 2) O…

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Q: Find the area of the triangle with vertices P(1, 4, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the…

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Q: 5. a) Find the area of the triangle formed by the points A(1, 2, -1), B(5, 9, 0) and C(-6, 0, 3).

A: Let's find.

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1, 2, -4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1, 5, -2), Q(1, -1, 0), R(3, 5, 1)

A: If  A x1,y1,z1, Bx2,y2,z2,Cx3,y3,z3  are the vertices  of atriangle  ABC  then     the  Area  of…

Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the…

A: Given P1,4,-2, Q0,0,0 & R4,5,1 To find Area of triangle PQR

Q: А (2, 7) В (-1, 6) С (1, 1) D (4, 2)

A: Given points are A(2, 7), B(-1, 6), C(1,1) and D(4,2)

Q: Find the area of the triangle with vertices P(1, 3, –6), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1, 3,-6), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the…

A: P(1,3,-6), Q(0,0,0) , R(2,4,1)PQ= Q-P = (0-1,0-3,0+6) = (-1,-3,6)PQ= (-1,-3,6)PR= R-P=(2-1,4-3,1+6)…

Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the…

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Q: Draw the rectangle with vertices A(1,3), B(5, 3), C(1, -3), and D(5, -3) on a coordinate plane. Find…

A: To draw the rectangle with vertices A(1,3),B(5,3),C(1,-3) and D(5,-3) on a coordinate plane. To find…

Q: Two vertices of an equilateral triangle are located at (2,0)(2,0) and (−2,−3)(−2,−3). What is the…

A: ∴ AB=BC=AC ∴ all sides of an equilateral triangle are equal    To find:-  perimeter…

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0, 0) R(3,5, 1). NOTE: Enter the exact…

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Q: 5. USI P;(2,2,0), P2(-1,0,2), P3(0,4,3) VE, find the area of the triangle determined by the points…

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Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the…

A: As we know that; The expression for the area of the triangle PQR is; A=12PQ→×PR→   Given:…

Q: There are exactly two values of y that make the points A = (0, 1), B = (4, – 10) and C = (-15, y)…

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Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,5, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 5, -2, Q0, 0, 0 and R3, 5, 1.

Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: (-4, - 3), (8, 7). What is the area of a triangle whose vertices are and (8, - 3)?

A: The area of the triangle with the vertices at (x1,y1), (x2,y2) and (x3,y3) is given by the following…

Q: Find the area of the triangle with vertices P(1,5, -6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the…

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Q: 2. Triangle RST with R(-2, 1), S(2, -7), T(-6,-11): k = 3/4, centered at (-2, -7) %3D

A: For the Given triangle, RST scaled R'S'T' is calculated as shown below

Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0, 0) an R(2,4, 1). NOTE: Enter the…

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Q: Find the area of the triangle with vertices P(1, 5, –4), Q(0,0,0) and R(2,4, 1). NOTE: Enter the…

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Q: Let A(2,3, 1). B(3,1,0) and C(3,4,1) be three points in the space. Find the area of the triangle…

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Q: Plot the points and graph them in the order given. Then determine whether the quadrilateral is the…

A: The distance between two points is the length of the path connecting them. The shortest path…

Q: Find the area of the triangle with vertices P(1,5,-2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| A(0, 0, 0), B(1, 0, 3),…

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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.