6. In Exercises 7 and 8, use the following information to find the coordinates of the incenter N of the triangle. For AABC with vertices A(x,, y,), B(x, y,), and C(x,, y,), the coordinates of the incenter N is given by ax, + bx, + cx, ay, + by, + cy3 a + b + c a + b + c where a is the length of BC, b is the length of CA, and c is the length of AB. 8. A(7, 7) C(-3, 2) N. B(2,-3)

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

A:

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: 7. Find the area of the triangle with vertices A(-4,1,3) and B(1,0,3), and C(1,3,4).

A: The vertices of triangle ABC are given as A(-4,1,3),B(1,0,3) and C(1,3,4).

Q: 41. (2,3), (4, 9), and (-2,7) are vertices of an isosceles triangle.

A:

Q: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: the coordinates of the image. 8. Square PQRS with vertices P(-5, 4), Q(2,8), R(6, 1), and S(-1, -3):…

A:

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

A:

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

A:

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: Consider a triangle T defined by its three vertices r1, r2, and r3. Each point r located inside this…

Q: A.If angle ABC has vertices A(3,6) B(-2,-3) and C(8,6) what would the coordinates under the…

A:

Q: The corners for a fence are located at A (11,3), B (3,-11), C (-13,-9), and D (-5,9). What is the…

A: Any point on the cartesian coordinate system is represented by the ordered pair: x,y. Start from the…

Q: 4. Find the area of the triangle with the vertices: (1,2), (1,5), and (3,2).

A:

Q: Prove that the points (-2, -1), (1, 0), (4, 3), and (1, 2) are the vertices of a parallelogram. Is…

A:

Q: In a rectangular grid with corner points (0, 0), (0, m), (n, m) and n, 0), determine the number of…

A:

Q: 27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the…

A:

Q: 44. An isosceles triangle has vertices at (1, 1) and (3, 3). Which of the following could be the…

A: Please refer to the image below.

Q: The triangle with vertices congruent to the triangle

A: The vertices of triangle are A(0, 0), B(2,1) and C(0,5).  The vertices of other triangle are P(2,…

Q: Find the perimeter of AABC with vertices A(2, 4), B(8, 12), and C(24, 0).

A: TO FIND PERIMETER OF ∆ABC FORMULAE USED 1) PERIMETER OF TRIANGLE = SUM OF ALL THE SIDES 2) DISTANCE…

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