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

Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Show that the points (2, 1), (4, 0), and (5, 7) are vertices of a right triangle.

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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: Show that the points (2, −1), (5, 5), and (6, −3) are vertices of a right triangle.

A: The given points are (2,-1), (5,5) and (6,-3)

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

A: Given: The vertices of the triangle are as follows, (1,-1,-2),(-2,0,-1) and (0,-2,1)

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: You were asked to find the perimeter of the triangle whose vertices are the specified points in the…

A: We have to find perimeter of triangle

Q: Find the area of the triangle with vertices: Q(-5,-1,-1), R(-6,-4,1), S(-9,-3,2).

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Q: Find the lengths of the sides of the triangle with the vertices (-1,0, –2), (-1,5, 2), (-3, –1, 1)…

A: Use the distance formula and calculate each side lengths of the triangle than determine which type…

Q: Determine the cosine of the angles of the triangle whose vertices are (1, −1, 2), (3, −2, 1), (4, 2,…

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Q: Is the triangle with vertices A(7,3) , B (0,6) and C (-6,-8) a right triangle?

A: First we use distance formula and find the length of each side .

Q: The coordinates of the circumcentre of the triangle ABC are (8,3) , if the coordinates of the…

A: To Determine: find the values of x and y. Given: We have the coordinates of the circumcentre of the…

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: Find the perimeter of the triangle having the vertices with the given coordinates. (2, 2), (5, 2),…

A: 1)  let A=(2,2)     B=(5,2)    C=(2,6) perimeter P=distance of AB+distance of BC+distance of CA…

Q: Show that A(3,0,2), B(4,3,0), and C(8,1,-1) are vertices of a right triangle. At which vertex is the…

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

A: Solved below

Q: Find the area of the triangle with the given vertices.(1, 1), (2, 4), (4, 2)

A: Given the vertices of the triangle (1, 1), (2, 4) and (4, 2). We have to find the area.

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

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

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

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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 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: 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: triangle

A: Given are the coordinates of vertices of triangle as -1,1, 5,-1 and 4,3 Query is to find the angles…

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: Find the area of the triangle with vertices (0,0,0), (4,-4,1), and (4,-3,0)

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Q: What triangle best describe the vertices connecting P(-4 , 5 ), Q( -4, -4) and R( 5, -4)

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Q: find the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-7,0).

A: the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-7,0).

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

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Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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Q: Find the length of the medians of the triangle whose vertices are (1, -1), (0, 4) and (-5, 3)…

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

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Q: Find the area of the triangle having the given vertices. (3, 2), (4, 2), (-2, 6)

A: Answer

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: Determine ξ so that the points P1(4, −3), P2(ξ, −8), and P3(12, −21) are the vertices of a right…

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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: Find the angles of the triangle with vertices: (0,2,0), (2,0,3) and (5,5,5).

A: Use the formula of angle between two vectors to solve this problem.

Q: Find the area of the parallelogram with vertices at (3, –3), (11, 1), (12,-5), and (20, –1). Area =

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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: ). Determine the cosine of the angles of the triangle whose vertices are (1, –1, 2), (3, –2, 1), (4,…

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

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Q: Whats the area of a triangle if its vertices are at A (-8,-6), B (6,9) and C (8,-14)

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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: 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: 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 triangle with vertices P(1,3,5) Q(-1,4,-4) and  R(1,5,4)

A: P1,3,5 Q=-1,4,-4  R1,5,4PQ=OQ-OP     =-i∧+4j∧-4k∧-i∧-3j∧-5k∧PQ=-2i∧+j∧-9k∧PR=OR-OP     =i∧…