A triangle has vertices A(2,2), B(5,5),C(1,9). Find the coordinates of the following centers. а) Incenter I b) Circumcenter o' c) Orthocenter H.

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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Q: The vertices of quadrilateral JOHN are J(-3,1), O(3,3), H(5,7), and N(-1,5). Use coordinate geometry…

A: We are given the vertices J(-3, 1), O(3, 3), H(5, 7), and N(-1, 5). Let us plot the graph first.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, 7,…

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Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle,…

A: Option A

Q: If A, B and C are vertices of a triangle then what is AB+ BC +CA?

A: It is given that A, B and C are the vertices of the triangle as shown below.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2,…

A: FIND THE AREA

Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

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

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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: Point D is the incenter of triangle AABC, where mZABC MZBCD = 2 · MZBAD. Determine m2ADB, MZADC, and…

A: Given, D is the incenter  of triangle ∆ABC Where    m∠ABC = 60°     and  m∠BCD = 2.m∠BAD   We have…

Q: 4. Show that the two internal bisectors and one external bisector of the angles of a triangle meet…

A: Given:

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: Consider the points P = (8,6, −8), Q = (8, 0, 8), R = (0, 6, 8) to be vertices of a triangle. What…

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Q: In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter…

A: Diagram according to the Question Diagonals of Rhombus are Perpendicular Bisecture ( Angle 90°)All…

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

A: Triangle with vertices P1, -1, 0, Q2, 1, -1 & R-1, 1, 2.…

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: A, B and C are vertices of the base of an isosceles triangle ABC. A is at point (1,2), B at (4, -1)…

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Q: The perpendicular bisectors of the sides of any triangle ABC are concurrent. The point is called the…

A: The perpendicular bisectors of the sides of any triangle ABC are concurrent.

Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

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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: 3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?

A: Here in the graph, A=(5,-2)  ,  B=(8,3)   and  c=(3,8) We have to find the coordinates of point D

Q: Show that the triangle with vertices A(0, 0), B(1, √2), andC(2, 0) is equilateral.

A: An equilateral triangle is a triangle in which all sides are equal, and consequently, all angles are…

Q: CONSTRUCT EQUILATERAL TRIANGLE UPON AB AS THE BASE. At

A: According to question given thatAB is the base of the equilateral triangle and we have to construct…

Q: Consider a triangle with vertices X, Y, and Z.

A: Definition used -              Triangle law of vector addition -                  According to…

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

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Q: Given: DABCD has vertices A(-1, -3), B(4, 2), C(3, 9), and D(a, b). a. Find the coordinates of the…

A: Given:        Vertices of ABCD         A-1, -3, B4, 2, C3, 9 and Da, b a.  coordinates of the…

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A:

Q: Determine the area of the triangle with vertices A(1, 2, 3), B(−1, 1, 1) and C(1, 0, 4)

A: area of the triangle

Q: Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as…

A:

Q: Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the…

A: The triangle ABC with vertices A(0,2), B(2,0), C(2,2)The dilating factor of 3 about origin.

Q: Show that triangle with vertices p(6,-7),q(11,-3) and R(2,-2) is a right angled triangle using…

A: We first find the length of the sides using the distance formula.…

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. A(1, 1, 3), B(10, -7,…

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Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

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Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, –1), B = (4, 5, 1), C =…

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Q: If the edges of a rectangular parallelopiped are a, b, c show that the angles between the four…

A:

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, 2,…

A:

Q: Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with…

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

Q: What is the approximate perimeter of a triangle with vertices at (-1,3), (4,6), and (4,-2)

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Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

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,…

A:

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: Which describes the cross section of the square prism that passes through the vertices A, B, C, andD…

A: A square prism is a shape of cuboid having bases squares