PROVE THE FOLLOWING THEOREM USING ANALYTIC PROVING. 1. The medians of a triangle are concurrent. •Let the vertices of the triangle be A(a, b), B(c,d), and C(e, f).

Q: P = (9,6,1) R = (9,8,5) Find the point such that R is the midpoint of PQ.

A: given R is midpoint of PQ  if two points is (x1,y1,z1) and (x2,y2,z2)then coordinates of midpoint is…

Q: Find the area of triangle with vertices Q C5, 1, 32, R (2,4,6), SC1,-1,9).

A:

Q: X: Find the gnge e in the tr

A:

Q: Q3. Evaluate [(A +B). (à – B)] if à = 2î – 3ĵ + 5k and B = 3î + j – 2k

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only one…

Q: D (2, 2), E (4, 5), F (10, 6), and G (8, 3)

A:

Q: Try to move the purple points of Parallelogram ABCD so that the midpoints of AC & BD are different.…

A: In a parallelogram the diagonals bisect each other i.e. the midpoints are same point.

Q: Three vertices of parallelogram ABCD are A(-5;0), B(0;1) and D(-1;3). Evaluate the length of…

A: Given 3 vertices of the parallelogram are  A-5,0 ; B0,1 and D-1,3  Let the fourth vertex be Cx,y…

Q: considerer the following three points A=(-1,-1), B=(1,3) and c=(3,7) a) find the three distances AB,…

A:

Q: MBC is an equilateral triangle with A(0, 0) and B(a, 0), (a>0). , M, and N are the foot of the…

A:

Q: a) Explain fully, atleast three possible relationships between two lines in R3 [c3] b) Which of the…

A: (a) The relationship between any two lines in ℝ3 is always one of the following three: They can be…

Q: Are these points collinear? a) A(-1, –2), B(3, 2), and C(5, 5) b) D(a, c – d), E(b, c), and F(2b —…

A:

Q: Given that P(3, 1), Q(6, 5), and three points such that the an pa + + fo

A: Part A

Q: The triangle ABC is defined by the vertices A(1, -2, 2), B(1, 4, 0) and C(-4, 1, 1). Let M be the…

A:

Q: The coordinates of the vertex are......................... .

A: Given,

Q: Triangle PQR has vertices P(-3,-1), Q(-1,7), and R(3, 3), and points A and B are midpoints of PQ and…

A:

Q: The midpoint of a segment can be found using the formulas for a directed line segment, x = (X2-X1) +…

A:

Q: Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value ofx that…

A:

Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Evaluate O F.dT where +(3y %3D y + 1 and C is the triangle with vertices: (0,0), (6,0), (3, 5).

A:

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,…

A:

Q: A is a point on the y-axis such that AB // DC. Given points A(0,a), B(3,3), C(11,9), and D(8,13)...…

A:

Q: 3. Note that R° is another way to say "3-space" or "3-D space". P(2, a – c, a) and Q(2, 6, 11)…

A: Here, P(2,a-c,a) & Q(2,6,11) represents the same point in ℝ3.

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

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

Q: In kite ABCD below, point E is the midpoint of BD. What are the coordinates of point D? E(10,4) В…

A: Mid point of the line joining two points (x1,y1)  and (x2,y2) is given by M=((x1+x2)/2 , (y1+y2)/2)

Q: are the following points collinear? show your calculation A( 0,10) B(3,4) C(-5,20)

A: We have to check

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

A:

Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: question: Triangle ABC has vertices A(5, 12), B(13, 13), and C(11, 5). Show that triangle ABC is a…

A:

Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…

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

A: