The yellow triangle's vertices are at the centers of the three squares – two identical small squares and a larger one:

Q: Find the angle between a diagonal of a cube and an ad­jacent edge.

A: Let the side of the cube is of length s. Let us take the side of thr cube to be vector<s,0,0>…

Q: Find the areas of the triangles whose vertices are given A(1, -1, 1), B(0, 1, 1), C(1, 0, -1)

A:

Q: Find the area of the parallelogram with vertices A(-3, 3), B(-1, 6), C(3, 4), and D(1, 1).

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, 7,…

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2,…

A: FIND THE AREA

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-1, 6,…

A:

Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

A:

Q: Find the angle between the diagonal of a cube and one of its edges.

A:

Q: Find the area of the triangle whose vertices are PU,3P), 9L40,3) +

A:

Q: In an artistic design by a contractor of the students’ centre in a university, four pillars were…

A: Given: In an artistic design, four pillars were erected to form two triangular figures with the…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

A:

Q: Find the area of the triangle with vertices P(1, -1, 0), Q(2, 1, -1), and R(-1, 1, 2)

A: Triangle with vertices P1, -1, 0, Q2, 1, -1 & R-1, 1, 2.…

Q: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

A:

Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

A:

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

A:

Q: Choose two figures which are topologically equivalent to each other

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: Verify that the points (0, 3), (2, -3), and (-4, -5) are vertices of an isosceles triangle.

A: Length of the side joining the points (0, 3) and (2, -3) is: l1=0-22+3+32=4+36=40=210 Length of the…

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(7, -3,…

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

A:

Q: Find the area of a triangle with the points A(1,0,0), B(0,1,0), C(0,0, 1) as it vertices by using…

A: Question: Find the area of the triangle with the points A1,0,0, B0,1,0, C0,0,1 as its vertices by…

Q: Find the angle between the diagonal of a cube and an adjoining edge of the cube.

A: Given: Angle between the diagonal of a cube and an adjoining edge of the cube.

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

A:

Q: Verify that the points A(0, 3, 2), B(1, 5, 5), C(6, 9, 5), D(5, 7, 2) are the vertices of a…

A: Given points are A(0,3,2), B(1,5,5), C(6,9,5), D(5,7,2).

Q: Verify that the points are the vertices of a parallelogram, and find its area A( 1, 1, 3), B(-5, 7,…

A: let the points be A1,1,3 , B-5,7,1 , C-3,10,-6 , D3,4,-4 verify that the points are the vertices of…

Q: Find the area of a triangle whose vertices are at (0,0), (10,-25)and (28,-20).

A:

Q: Find the areas of the triangles whose vertices are given A(1, 0, 0), B(0, 2, 0), C(0, 0, -1)

A: To find the area of the triangle

Q: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

A:

Q: The diagonal of a parallelogram divides it into two congruent triangles.

A:

Q: Find the area of the triangle having the given vertices (0, 0), (6, 0), (0, 7)

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(6, 2,…

A:

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: We know that,The perimeten is equal to the sum of thelenathe of the sides , which can becalculated…

Q: Find the area of the triangle having vertices at P (1,3,2), Q (-2,1,3) and R (3,-2,-1)

A:

Q: Alicia believes the net below folds into a square prism.

A: To write that it is square prism or not

Q: Prove analytically that the midpoint of the hypotenuse of a right triangle is equidistant from the…

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, 2,…

A:

Q: How many vertices does a hexahedron have ?

A: A hexahedron, as the name suggests, is a six faced polyhedron. A cube is an example of a hexahedron

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

A:

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

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: Prove analytically that the perpendicular bisector of the sides of a triangle are concurrent.

A:

Q: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

A: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

Q: Which describes the cross section of the square prism that passes through the vertices A, B, C, andD…

A: A square prism is a shape of cuboid having bases squares

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), в(-4, 5,…

A:

Q: Determine the coordinates of the hexagon if a regular hexagon of side length 1 unit is inscribed in…

A: Given: A regular hexagon is inscribed in a unit circle. The length of each side of hexagon is 1…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-5, 7,…

A:

Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: Consider the tetrahedron  ABCD and let two pairs of opposite sides are perpendicular. Consider the…