Find the number of triangles that can be formed using 14 points in a plane, such that 4 points are collinear.

Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from 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: Find the area of a triangle having vertices A(3, 2), B(1, 8), and C(8, 12).

A: We have to find the area of triangle having vertices (3,2) , (11,8) and (8,12).

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: What is the condition for two central coincides in a triangle to be collinear?

A: A triangle has several significant points, known as its centers, such as the circumcenter, incenter,…

Q: Determine the area of the triangle with vertices (9, 1, 6), (9, 1, 7), and (12, 1, 7).

A: Let the given vertices be A=9,1,6, B=9,1,7, C=12,1,7. Find the area of the triangle. The formula to…

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: let the vertices of a triangle be A(1,4)     B (4,7)        C(7,1) Calculate its area and height

A:

Q: Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0)…

A: The given points can be plotted as A(3,0,0) B(0,0,2) C(0,6,0)