Determine the area of the triangle with vertices A(1, 2, 3), B(−1, 1, 1) and C(1, 0, 4)

Q: Identify the area of the polygon that has vertices H(5,-2), P(2,-4) O(-3,-2) S(-2,4)

A: We plot the given points first

Q: Find the area of the parallelogram with the vertices A(-5,–4), В(2, —4), С(4,4) and D(-3,4).

A:

Q: Find the area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and N(4, 5,…

A: To Determine  The area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and…

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: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: Find the area of triangle having vertices P, Q, and R if P (2, 0, -3), Q (1, 4, 5), R (7, 2, 9

A:

Q: Calculate the area of the parallelogram with the given vertices: (-1,-2), (2,7), (7,2), (10,11).

A:

Q: If two vertices of a triangle are (8,4) and (−2,2) and the centroid (intersection of the medians) of…

A: Let (x1,y1) , (x2,y2) and (x3,y3) are three vertices of a triangle the the coordinates of the…

Q: The vertices of APQR are P(0, 0), Q(- 6, 0), and R(-6, 6). Find the area of APQR.

A: Given:

Q: Find the area of the parallelogram with vertices P(2, 3, 3), Q(5, 5, 6), R(10, 9, 14), and S(7, 7,…

A:

Q: Find all values of x so that the triangle with vertices A-(4, 4, x), B-(7, 6, 0), and C=(5, 5, 2)…

A: Here we have to find values of x for which area of triangle is 1.

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,…