A triangle is formed by the vertices A(3, 2, -1), B(-2, 2, 3,) and C(1, 0, 2). Determine the area of the triangle.

Q: Find the area of the triangle with the given vertices.(1, 1), (−1, 1), (0, −2)

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Q: vertices

A: Perimeter of equilateral triangle = 3*side of triangle.

Q: Compute the area of a triangle with vertices A(7,3,4), B(1,0,6) and C(4,5,-2).

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Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

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Q: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

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Q: Line AB is formed by the vertices A (1, 2, -2) and B (-1, 0, 2). If C is the midpoint of AB, find…

A: Given,  the coordinates of A and B which forms line AB  And c is the mid point is AB Hence the…

Q: Find the perimeter of the parallelogram with these vertices. (5, 6), (-2, 1), (5, 1), (–2, –4) Give…

A: Perimeter of parallelogram is sum of length of each sides.

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: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: 4. Find the coordinates of the vertices of a triangle knowing that the coordinates of the midpoints…

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Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

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Q: What is the area of a triangle with vertices at (–1, –2), (–1, 6), and (3, –2)?

A: Given query is to find the area of the triangle with the vertices provided.

Q: Is the triangle with the vertices M(-2,5), N(12,3), Q(10,-11) a right triangle?

A: Solved below

Q: What is the perimeter of a triangle with the vertices (0,7) (0,1) and (4,7)

A: Given : Vertices of the triangle 0,7, (0,1) and (4,7)

Q: Find the area of the triangle whose vertices are (-8, 4), (-6, 6) and (-3, 9)

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Q: Compute the arae of the triangle with vertices (0,0) , (1,1) (-8,-7)

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

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

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

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Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,6),…

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Q: Determine the area of the triangle with vertices (9, 1, 6), (9, 1, 7), and (12, 1, 7).

A: Let the given vertices be A=9,1,6, B=9,1,7, C=12,1,7. Find the area of the triangle. The formula to…

Q: Find the lengths of the medians of the triangle with vertices A(1,2,3), B(-2,0,5) and C(4,1,5).

A: Medians are line segments of a triangle that connect the vertices to the midpoints of their opposite…

Q: What is the area of a triangle with the vertices at (-1, 2), (-5, 0), and (-1, -2)

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

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Q: The vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1). What are the vertices of the image…

A: Given, the vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1)

Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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Q: The vertices of a square are located at (1,7), (5,3) (1,-1) and (-3,3). What is the approximate…

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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 having the given vertices (0, 0), (6, 0), (0, 7)

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

A: We know that,The perimeten is equal to the sum of thelenathe of the sides , which can becalculated…

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

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

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: Line AB is formed by the vertices A (1,2,-2) and B (-1,0,2) If C is the midpoint of AB, find AC^2

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Q: Show that the triangle whose vertices are A(-2, -3), B(4, 5), and C(-4, 1) is a right triangle.

A: Given:A-2,-3B4,5C-4,1Right triangle:AC2 =AB2+BC2

Q: Find the interior angles of the triangle whose vertices are A (-3, -2), B (2, 5) and C (4, 2).

A: Vertices of the triangle are given.we will find the angle of the triangle.Below find the solution in…

Q: Find the lengths of the sides of a triangle whose vertices are at (2, 3), (5, -1), and (-4, -5).

A: To find the length of the sides of the triangle, the distance formula is used. According to the…

Q: what is the area of a triangle with vertices at (3,-6) (9,-8) and (7,-2)

A: We can find Area of a Triangle.

Q: Draw a triangle with vertices (-1, -7), (5,5), and (-2,1). Show that the triangle is isosceles.

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Q: Find the angles of the triangle with vertices: (0,1,0), (1,0,3) and (5,5,0)

A: The vertices are given as (0,1,0) , (1,0,3) , (5,5,0) We know that  d = (x2-x1)2+(y2-y1)2+(z2-z1)2…

Q: Find the area of the triangle with vertices (1,0,0), (0, 2,0), and (0,0, 1).

A: Area of triangle when three points are given is half the modulus of the cross product of the two…

Q: Verify that the points (-3, 1), (5, 7), and (8, 3) are vertices of a right triangle.

A: Two lines with slopes m1,m2 are perpendicular if m1m2=-1. For a right triangle, two sides are…

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

A: Given The vertices of the triangle are (8, 2), (4, -5), (3, -8) . Perimeter definition: Perimeter is…

Q: A trapezoid is a quadrilateral with at least one pair of parallel sides. Show that the quadrilateral…

A: slope of the line joining (x1,y1),(x2,y2)  is y2-y1x2-x1

Q: a triangle that has vertices (1,1) (-4,1) and (3,3) is

A: A triangle that has vertices (1,1) (-4,1) and (3,3) is

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.

Q: A right triangle has vertices at A(3,0,2), B(4,3,0) and C(8,1, –1). At which vertex is the right…

A: We will find out the required solution.

Q: Find the area of the parallelogram with vertices at (1, -1), (13, −11), (−4, −1), and (8,–11). Area…

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