A right triangle has vertices at A(3,0,2), B(4,3,0) and C(8,1, –1). At which vertex is the right angle?

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: Show that the points (2, 1), (4, 0), and (5, 7) are vertices of a right triangle.

A:

Q: Show that the points (2, −1), (5, 5), and (6, −3) are vertices of a right triangle.

A: The given points are (2,-1), (5,5) and (6,-3)

Q: If D is the triangle with vertices (0,0), (55,0), (55,49), then dA=

A: double integration

Q: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: If D is the triangle with vertices (0,0), (55,0), (55,60), then dA=

A:

Q: ned by vertices A (-2,4,2), B(4,10,12) and C(6,16

A: Here we have to find all angles of the triangle having vertices A (-2,4,2), B(4,10,12), and…

Q: 04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse…

A: We have to check

Q: Find the lengths of the sides of the triangle with the vertices (-1,0, –2), (-1,5, 2), (-3, –1, 1)…

A: Use the distance formula and calculate each side lengths of the triangle than determine which type…

Q: 1. A triangle has vertices at (-1, 0), (4, 0), and (4, 6) in a coordinate plane. What are the…

A: GIvenTriangle has vertices at (-1,0) , (4,0) and (4,6)To findlength of all sides.

Q: 2. Determine what type of triangle does the vertices P, (1, 3) P2(4,0), and P3(-3,-7).

A:

Q: 3) 9ry dA, R is the triangle with vertices (0,0), (0,3) and (4, 3)

A: Given integral to evaluate ∫∫R9xydA R is triangle with vertices 0,0,0,3,4,3 The triangle will be

Q: Is the triangle with vertices A(7,3) , B (0,6) and C (-6,-8) a right triangle?

A: First we use distance formula and find the length of each side .

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

A:

Q: Find the area of the triangle with vertices: Q (5,-5,0), R (5, -7, 2), and S (6, -2, 1)

A:

Q: Find the area of the triangle with vertices: Q(4,-5,-2) R(2,-3,-1) S(1,-6,1)

A:

Q: A triangle has vertices at A (1, 6), B (-4,1), and C (0, -2). What are the coordinates of each…

A: Given: Vertices of triangle are: A = ( 1 , 6 ) B = ( -4 , 1 ) C = ( 0 , -2 ) To find: Co-ordinates…

Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

A:

Q: Two vertices of an equilateral triangle are located at (2,0) and (-2,-3). What is the triangle's…

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

Q: The coordinates at the vertices.A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: Given,  The coordinates of vertices of triangle A-3, 7  B2, 19  C10, 7   We have to find the length…

Q: the area of the triangle with vertices A(-3,2), B(1,-2), and C(1,3). If recessary, round to the…

A:

Q: Find the area of the triangle with vertices P(1, 0, 7), Q(0, 6, 7), and R(1, 4, 0).

A:

Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

A:

Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

A:

Q: Find the lengths of the medians of the triangle with vertices A(1,2,3), B(-2,0,5) and C(4,1,5).

A: Medians are line segments of a triangle that connect the vertices to the midpoints of their opposite…

Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: The vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1). What are the vertices of the image…

A: Given, the vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1)

Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

A:

Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

A:

Q: Use the dot proquct to find the largest interior angle of the triangle with vertices P(-1,2,3),…

A: We have given vertices of the triangle as P-1, 2, 3, Q1, 2, 1 and R2, 2, 1. First, we have to find…

Q: find the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-7,0).

A: the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-7,0).

Q: Find all values of x so that the triangle with vertices A=(x, -3, 4), B=(-1,0, 6), and C=(-2, –2, 7)…

A: The given vertices are A=(x,-3,4), B=(-1,0,6) and C=(-2,-2,7) has area 4.

Q: Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the…

A: The triangle ABC with vertices A(0,2), B(2,0), C(2,2)The dilating factor of 3 about origin.

Q: Find the midpoint of each side of the triangle with vertices A (-5,4) B (3,6), c (2,2). Prove that…

A:

Q: Let A be the triangle with corners at (4,-2), (-4,-2), and (-4,3) List the corner points of triangle…

A: To find the corner points of the new triangle A formed.

Q: Find the circumcenter and circum-radius of the triangle whose vertices are (0,0),(8,0) and (0,6).…

A: The given vertices are 0,0,8,0 and 0,6.

Q: If D is the triangle with vertices (0,0), (82,0), (82,37), then dA=

A: Solved below

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: A triangle is formed by the vertices A(3, 2, -1), B(-2, 2, 3,) and C(1, 0, 2). Determine the area of…

A:

Q: Find the angles of the triangle whose sides are x+y -4 = 0, 2x+y-6=0 and 5x+3y - 15 = 0.

A: Lines:x+y-4=0⇒y=4-x                      (1)2x+y-6=0⇒y=6-2x                  (2)5x+3y-15=0⇒y=153-53x…

Q: Determine ξ so that the points P1(4, −3), P2(ξ, −8), and P3(12, −21) are the vertices of a right…

A:

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Show that the triangle whose vertices are A(-2, -3), B(4, 5), and C(-4, 1) is a right triangle.

A: Given:A-2,-3B4,5C-4,1Right triangle:AC2 =AB2+BC2

Q: Find the interior angles of the triangle whose vertices are A (-3, -2), B (2, 5) and C (4, 2).

A: Vertices of the triangle are given.we will find the angle of the triangle.Below find the solution in…

Q: Find the coordinates of the .circumcenter of the triangle with the given vertices. H(- 10,7), J( –…

A: Circumcentre of the triangle where vertics H(-10, 7) J(-6, 3) K(-2, 3)

Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).

A: The question is from Advanced Calculus

Q: Find the angles of the triangle with vertices: (0,1,0), (1,0,3) and (5,5,0)

A: The vertices are given as (0,1,0) , (1,0,3) , (5,5,0) We know that  d = (x2-x1)2+(y2-y1)2+(z2-z1)2…