Let 0(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The point R lies inside the triangle OPQ such that the triangles OPR, PQR, OQR have the same area. The coordinates of point R are... A. G.3) в. (3.) (3,층) D. ) В. С. 4 2

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

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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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-7, 5,…

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Q: Find the midpoint of the sides of the quadrilateral LOVE with vertices L(-3, -2), O (0, 6), V(4, 4),…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-1, 6,…

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Q: Consider a quadrilateral with vertices ܵS(-7, 2), Q(0.5, 3), R(3/2, -9/2), E(-6, -5.5) Determine…

A: The given question can be solved by using distance formula and the property of various types of…

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

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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: 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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-2, -6,…

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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: 3) 9ry dA, R is the triangle with vertices (0,0), (0,3) and (4, 3)

A: Given integral to evaluate ∫∫R9xydA R is triangle with vertices 0,0,0,3,4,3 The triangle will be

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 cosine of the acute angle e between the diagonais of a quadriateral having vertices at (0,0,0),…

A: Given:

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

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Q: A triangle has vertices at A (1, 6), B (-4,1), and C (0, -2). What are the coordinates of each…

A: Given: Vertices of triangle are: A = ( 1 , 6 ) B = ( -4 , 1 ) C = ( 0 , -2 ) To find: Co-ordinates…

Q: 2. Prove that the points A(7,10), B(-2,5) and C(3,-4) are the vertices of an isosceles-right…

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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: (b) Determine the area of the triangle whose vertices are (1,1.2), (-1/2,0,2.5), and (3/3,2,3/2)by…

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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: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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

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Q: The vertices of quadrilateral KAIT are K(0,0), A(a, 0), I(a + b, c), and T(b, c). Use coordinate…

A: Parallelogram is a kind of quadrilateral with two pairs of opposite sides. In a parallelogram, the…

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: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(7, -3,…

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

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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: 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: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

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Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: Let the vertices of parallelogram MNPQ be the points M(0,0), N(a,0), P(a+b,c), and Q(b,c). Which…

A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

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: Let A be the triangle with corners at (4,-2), (-4,-2), and (-4,3) List the corner points of triangle…

A: To find the corner points of the new triangle A formed.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: AABF ACBD with obtuse angles at vertices D and F. If mZB = 44° and mZA:MZCDB = 1:3, find mLA.

A: Given:  ∠B=44o, ∠A:∠CDB=1:3

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(6, 2,…

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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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, -2,…

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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: Verify that the points are the vertices of a parallelogram, find its (section 9.7) area, and…

A: A(2,-1,4) B(3,1,2) C(0,5,6) D(-1,3,8)

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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), в(-4, 5,…

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Q: Show that the points form the vertices of the polygon. right triangle: (−4, 5), (0, 7), (2, 3)…

A: The given points are -4,5, 0,7, 2,3

Q: Find the lengths of the sides of the quadrilateral STUV with vertices S(-1,4), T(2,1), U(3,-5), and…

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