3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle in M, show that 1 1 MB MC 1 MF +

Q: A nerd guitarist attempted to measure the auxiliary rectangle from the dips of his preloved electric…

A: The standard form of a hyperbola with the traverse axis on the x axis is x-h2a2-y-k2b2=1.  Here h,k…

Q: Find the area of the triangle with vertices (0, 0, 0), (-2, -3, -3), and (-2,-2,-5). A =

A: Let,     Then,

Q: 3. Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x -6y + 2z = 5.

A: Given equation of planes: 2x-3y+z=4 and 4x-6y+2z=5. To find: Shortest distance between the parallel…

Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: 56. Show that the six points (1, 0, 0), (−1, 0, 0), (0, 1, 0), (0, −1, 0), (0, 0, 1), and (0, 0, −1)…

A: Plotting given six points (1, 0, 0), (−1, 0, 0), (0, 1, 0), (0, −1, 0), (0, 0, 1), and (0, 0, −1).…

Q: Consider the points A(1, -3, 7), B(3, 2, 7) and C(-1, -1, k). Determine the possible value(s) of k…

A: Topic = Triangle Possible values of k are 6 and 8.

Q: 3 Determine what kind of quadrilaterál I formed by the following points: S MI-2,-1), L(1,3), T(5,0)…

A: Given

Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

Q: 8. If AB =9x-13 and DC = 6x +11, what would the value of x need to be in order for ABCD to be a…

A: Given that AB=9x-13 and DC=6x+11find x and DC

Q: 18.) A TV is measured by the diagonal of the screen. Ben has an entertainment center that has an…

A: Given,  The opening for the TV that ben has = 26 in  by 30 in  We have to solve for part (a)  and…

Q: Find the length of the diagonal indicated for each trapezoid. SU = 6x -9 RT= x+6 Find SU О 12 O 10

A:

Q: The triangle formed by A(z₁), B(22) and C(23) has its circumcentre at origin. If the perpendicular…

A:

Q: 5. Of any 7 points chosen within a regular hexagon whose sides have length 1, show that two are…

A: The Pigeonhole Principal : If n+1 objects are placed into n boxes, then some box contains at least 2…

Q: 30. Let A=(-3,2) angled triangle. B = (1,0), and C=(4,6). Prove that AABC is a right- >

A:

Q: . Show that a triangle with vertices (1, 4), riangle. Find its area.

A: We will solve the problem.

Q: The triangle formed by A(z₁), B(z2) and C(z3) has its circumcentre at origin. If the perpendicular…

A:

Q: 38. A rectangle with sides parallel to the axes has vertices at (3, - 2) and (-4, – 7). a) Find the…

A: Explanation of the answer is as follows

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0, 0) R(3,5, 1). NOTE: Enter the exact…

A:

Q: Determine the area (in square units) of AABC if A = (5, 1), B = (8, 3), and C is the reflection of B…

A: