Find the area of △EFG with vertices E(8,–6),F(–4,–8),andG(4,6).

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: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: 2.x= 28°

A: Given:Angle at one end of triangle =28°To find:x=??

Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

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: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: 9. AEFG has the vertices E(2, 6), F(8, 6), and g(6, 2). Find the orthocenter.

A: Let H be the Orthocenter of triangle EFG  So, (slope of HE) •(slope of GF) =-1

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

A:

Q: Imagine a triangle △ABC where A(−53,−60,−49), B(−102,−98,−107), and C(3,6,5) is in 3D space. A point…

A:

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

A: Given:

Q: 2.1.67 Find x assuming that (4,2), (6,7), (x,14), and (6,9) are the vertices of a parallelogram. X =…

A:

Q: Find b and c so that y 10x? + bx + c has vertex ( – 8, 0). = c = ||

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: Determine the area of AABC if A = (2, 1), B = (5, 3), and C is the reflection of B across the x…

A: Given: A triangle △ABC, with vertices are A=2,1, B=5,3, and C is the reflection of B across the…

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

A:

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0, 0) R(3,5, 1). NOTE: Enter the exact…

A: