Consider the following pyramid with square base formed by the four points (1, 1,0), (1, –1,0), (-1,1,0), (-1, –1,0), and (0,0,1). What is the length of each edge connecting the base to the apex? Find the angle at the apex of a triangular faces.

Q: What kind of triangle can be formed when points B(-2,6), E(-2,-3), and T(7,6) are connected…

A: The distance between 2 points (x1,y1),(x2,y2) can be calculated using the distance formula. The…

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

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Q: Find the area of the triangle determined by the points P(-3,6, - 4), Q(4,8, - 8), and R(10, - 5, -…

A: we have to find the area between the triangle having three coordinates by using the formula…

Q: A triangle has vertices at the points (2,0,−5), (0,−5,2), and (1,3,3). Find the lengths of the three…

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Q: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC…

Q: The vertices of triangle ABC are A(5, -2), B(9, 4) and C(-3, 8). Find the perimeter of the…

A: Perimeter = AB+BC+CA Midpoint formula  (x1+x2+x33 ,y1+y2+y33)

Q: In the following diagram, we have isosceles triangle AABC with base angles /A and /C C. If m/BAC…

A: We have to find angle

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

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Q: A O 10. The coordinates of point A are (2, 1) and the coordinates of point B are (-4, 9). What are…

A: The midpoint of AB has coordinates: x1+x22,y1+y22 where the points are A(x1,x2) & B(y1,y2).

Q: How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices…

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Q: Let three vertices of a triangle be ?(4, 0, 1), ?(1, 5, 2), and ?(−4, 1, −3). What is the area of…

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Q: Damien is designing a garden in the shape of a regular pentagon. To lay out the garden, Damien uses…

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Q: 38. A rectangle with sides parallel to the axes has vertices at (3, - 2) and (-4, – 7). a) Find the…

A: Explanation of the answer is as follows