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 right angle?

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 coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: Let A (-23, 12), B (13,36), and C (23,-1) be vertices of a triangle. Where will the medians of this…

A: Given: vertices of the triangle              A=-23,12 , B=13,36 , C=23,-1To find: to find the co…

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: 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: Show that the points A(2, -1), B(1, 3), and C(-3, 2) are verticesof a square, and find the fourth…

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Q: Chas vertices A(1: 3): B(4: 1) and C(6: 4), Prove that

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Q: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: do the points (-1,1) , (-3,5), and (0,8) form a tight triangle ?

A: We can check if the triangle formed by A, B, C is right triangle by two methods: 1) By checking if…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: 2. Determine what type of triangle does the vertices P, (1, 3) P2(4,0), and P3(-3,-7).

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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: 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: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

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Q: Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3)

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

Q: Determine if the points X(-6,-4), Y(2,-2) and Z(0,5) form the vertices of a right triangle.

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Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

Q: Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and…

A: Now, to find the sides of the triangle, the distance formula is to be used between each of the…

Q: Find the perimeter of a triangle with vertices S(4, 5), T(-2, -3), and W(5, - 4).

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

A: The vertices of the triangle are (-9,-5), (-6,1), (5,8)

Q: Find the area of the triangle whose vertices are (1, 1), (2, 2), and (4, 3).

A: The vertices are (x1, y1) = (1, 1), (x2, y2) = (2, 2), and (x3, y3) = (4, 3) The formula to find the…

Q: Use the distance formula to decide whether the three points are vertices of a right triangle. 13. (…

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Q: Verify that the points (0, 3), (2, -3), and (-4, -5) are vertices of an isosceles triangle.

A: Length of the side joining the points (0, 3) and (2, -3) is: l1=0-22+3+32=4+36=40=210 Length of the…

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: Find the are of the parallelogram with vertices P1, P2,P3,P4. P1=(4,1,1) P2 = (4,4,3) P3 = (2,-3,0)…

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

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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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: 2. Determine whether the three points are vertices of a right triangle. P(-4, 3), Q(2, 5), R(-1, -6)

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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: Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y –4)

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

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: The coordinates of the vertices of a triangle are M (-4,1), A (3,3) and B (2,-3).

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

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Q: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

Q: Find the coordinates of the .circumcenter of the triangle with the given vertices. H(- 10,7), J( –…

A: Circumcentre of the triangle where vertics H(-10, 7) J(-6, 3) K(-2, 3)

Q: Show that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.

A: Given  A(-4,-1), B(0,-2), C(6,1) and D(2,2) To show: ABCD are vertices of a parallelogram.

Q: The points A(0,0),B(0,5)and C(12,0) are the vertices of a right triangle with 13 units as its…

A: A triangle in which one of the interior angles is 90 degree is called a right triangle. The longest…

Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a…

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other.…

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 lengths of the medians of the triangle with vertices at   A(4, 3, 1),  B(2, 1, 2) and…

A: Length of medians