Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry.

Q: Find the perimeter of A ABC if AB, BC, and CA are tangents to the circle. B 17 in D E 23 in 15 in 41

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Q: Plot the points A(1,0), B(5,0), C(4, 3), and D(2, 3) on a coordinate plane. Draw the segments AB,…

A: We have to plot the points A(1,0) ,B(5,0),C(4,3) D(2,3) on the coordinate plane. Next we have to…

Q: Show that the points A=(3,4),B=(1,1) ,and C=(-2,3) are the vertices of an isosceles triangle

A: We know, distance d between two points (x1,y1) and (x2,y2) is given by distance formula as:…

Q: If A = B = C = are the coordinates of a triangle, compute: A с B length of AC units length of AB…

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Q: The figure below shows one of the steps used in inscribing an equilateral triangle in a circle. True…

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Q: e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

A: Solution:- We have to evaluate the following integrals over the region A. ∫∫Aex+ydA, A=triangle…

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: (b) How do you find the distance from a point to a plane?

A: Formula to find the distance from a point (x1 , y1 , z2 ) to the plane Ax+By+Cz+d=0 is given by:

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

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Q: This problem refers to triangle ABC. If b = 4.1 m, c = 6.2 m, and A = 114°, find a. a%3D m

A: Let the triangle be ABC:

Q: Assume D, E, and F are tangent to Circle O. Find the perimeter of the triangle. 3 4 A 10

A: Given from the given figure

Q: Consider the triangle with vertices at A(0, 0), B(a, 0), and C(a, b). Explain why AABC is a right…

A: Consider the given vertices A0, 0 , Ba, 0  and  Ca, b of △ABC  First, find the lengths of the sides…

Q: In circle A below. points B, C, and D lie on the circle, and MLBCD = 60. %3D 60 [Seec MLDAB= degrees…

A: Angle subtended at the centre of the circle is double the angle subtended at any other point on the…

Q: Prove in a paragraph proof: If a parallelogram is inscribed in a circle, then it is a rectangle

A: Given: A parallelogram inscribed in a circle. To prove: The parallelogram is a rectangle.

Q: Show that the points A = (3, 4), B = (1, 1), and C = ( - 2, 3) are the vertices of an isosceles…

A: Given: Points are A = (3, 4), B = (1, 1), and C = ( - 2, 3)

Q: Consider a triangle whose vertices are A(2, -3, 4), B(1, 0, -1), and C(3, 1, 2).

A: It is known that the vector joining the points x1,y1,z1 andx2,y2,z2 is given by…

Q: Which best describes this triangle? O A. right B. scalene O C. isosceles O D. equilateral

A: In the given figure It can be observed that two sides of the triangle are equal.

Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: Is a triange with the verticies A(7,1) B(0,4) and C(-4,-8) a right triangle yes or no?

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Q: You want to determine if a point, R, is closer to point Q or point S? A. Create the biesector of…

A: topic - geometry

Q: . If M is the midpoint of the hypotenuse AB of right triangle ABC, andAM = 6, find MB and MC.

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Q: 2. Write the image points for Ry-1(ABCD) = A¡BICIDI. y A'( B' ( C(

A: In the question for the given figure it is asked to show the mirror image of the rectangle ABCD with…

Q: S and E are the midpoints of BA and AM, respectively. Use the properties of midsegments to find the…

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Q: Consider the figure again, which consists of a triangle ABC and a sector of a circle with a central…

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Q: Given the coordinates of X, Y and Z as shown in the figure, find the perimeter of the triangle. Z…

A: To find the parameter of the triangle XYZ.

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: 2. Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any…

A: Explained below

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

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

Q: Classify AABC by its angles if mZA = x, mZB=2x , and m/C = 3x. right isosceles equilateral obtuse

A: By using property of triangle

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

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Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

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Q: This figure shows parallel stair railings through points M, N, P, and Q. 610

A: the figure is given, the figure shows parallel stair railings through points M,N,P, and Q. label the…

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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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: Determine the type of triangle that is drawn below. N 45° 5.02 7.11 90 M 45° 5.02 Scalene Acute…

A: A triangle is said to be acute triangle if all three angles of a triangle are less than 90o.  A…

Q: Evaluate Re z? dz, C: the unit circle (counterclockwise).

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Q: If A = (5, 1), B = (1,-3) and C= (2,-4), find the cosine of 2CAB. Let A = (-3, 2), B = (1, 0) and C=…

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Q: Is AABC a right triangle? Show work to justify your answer. C 12 A. 18

A: Given,  Sides of triangle  AB = 18  BC = 12  AC = 9

Q: An equiangular triangle cannot be which of the following?a. equilateral b. isosceles c. scalene d.…

A: An equiangular triangle cannot be which of the following? a. equilateral b. isosceles c. scalene d.…

Q: In the given image, the circle has center A and radius AB¯¯¯¯¯¯¯¯. Which of the following is the…

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Q: . Construct the perpendicular bisector of the following segments: E A в b. D

A: We will drawn the perpendicular bisector

Q: If A = (5, 1), B = (1,-3) and C= (2,-4), find the cosine of 2CAB. Let A = (-3, 2), B= (1, 0) and C=…

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Q: et AABC be a triangle and let P,Q, and R be the midpoints of BC, AC, and orrespondingly. Show that…

A: We draw a triangle and join the midpoints of each side to each other forming 4 triangles within the…

Q: Based on the measures provided in the diagram, determine the measure of ZBDC. (You may assume that…

A: Given figure is

Q: Use the Distance Formula to determine the type of triangle that has these vertices: a) A(0, 0), B(4,…

A: Note: Since you have asked multiple questions. We will solve the first question for you. If you want…

Q: Prove that an angle inscribed in a semicircle is a rightangle. (Hint: The coordinates of C must…

A: Given:

Q: Consider the triangle ABD formed with the points A(1,-4), B(-4,1) and D(-3,-5). determine its…

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Q: Plot the image of quadrilateral ABCD under a reflection across line . C D

A: Reflection is a transformation representing the flip of the figure. If we are reflecting a figure…

Q: If AB is the diameter of the circle with A = (-2,6) and B = (5,4), then the %3D center of the circle…

A: The diameter of the circle is:  AB where coordinates of A is  (-2, 6) and  B is  (5, 4).