
Sample Question: Graph
Determine graphically the vertices of the triangle, the equation of whose sides are given as y = x; y = 0; 2x + 3y = 10. Interpret the result
Please see the attached file.
To plot the graph of linear equation.

Graphing equations
Determine graphically the vertices of the triangle, the equation of whose sides are given as
y = x; x = 0; 4x + 2y = 12. Interpret the result.
Please see attached file. The solution shows how to graph equations and interpret the results.

MultiObject Linear Programming
(b) We wish to determine graphically whether each of the following is an efficient solution:
(i)
Since this corresponds to the point C in the graph below, which is one of the vertices of R, we see that it is an efficient solution.

Triangulation, proof by string induction.
Label the resulting triangle as (n1). One of it vertices is numbered as (n1).

Integration : Finding Area of a Triangle Given its Vertices
71899 Integration : Finding Area of a Triangle Given its Vertices Use integration to find the area of the triangle having the given vertices.
(0,0) (a,0) (b,c) Please see the attached file for the complete solution.

Geometry : How many distinct points does the 9point circle have when the triangle is isosceles, equilateral, rightangle isosceles
In a right triangle there are at most five because the orthocenter is on the vertex of the right triangle, meaning that two of the sides are the segments connecting the orthocenter to the vertices. Hence two pairs of midpoints coincide.
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Matrix & Vector Problem : Find the area of the triangle with vertices...; Compute the volume of the tetrahedron with vertices...
73444 Matrix & Vector Problem : Find the area of the triangle with vertices...; Compute the volume of the tetrahedron with vertices... (a) (i) Find the area of the triangle with vertices (t, t2), (t+2. t+2).

Threedimensional space
Find the length of the diagonal of the box.
8. Find the lengths of the sides of the triangle with vertices A(1, 2, 3), B(3, 4, 2), and C(3, 2,1). Is ABC a right triangle? Is it an isosceles triangle?
11.

Finding the Area of a Parallelogram
A(1,2,2), B(1,3,6), C(3,8,6), and D(3,7,3)
(a) For triangle ABD,
Thus, the area of the triangle ABD is
(b) For triangle CBD
Thus, the area of the triangle ABD is
Therefore, the area of the polygon is The area of a parallelogram