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: 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: 04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse…

A: We have to check

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, −2,…

A:

Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: 2. Determine what type of triangle does the vertices P, (1, 3) P2(4,0), and P3(-3,-7).

A:

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: A = (1, 2, 8), B = (8, 1, 8), and C = (-1,-1, −8)

A:

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: Show that a triangle with vertices at A(−1, 2), B(4, 1), and C(5, 6) is isosceles. Distance from…

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: Evaluate fS, 6x² – 40y dA, where D is the triangle with vertices (1,1), (5,0) and (5,3).

A:

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: Let A (1, 2, -1), B (3, -1,4) and C (2,6,2) be three vertices of parallelogram ABCD a-Find the…

A:

Q: Let A(1,3), B(3,1) and C(0, -2) be the vertices of a triangle ABC. Plot the vertices B, C, compute…

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

A: