04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse angle? Justify your answer

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

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Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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Q: You were asked to find the perimeter of the triangle whose vertices are the specified points in the…

A: We have to find perimeter of triangle

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

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

A: Given points are , (-4,9) , (-2,6), (3,-6)Let P =(-4,9)Q = 9-2,6)R = (3,-6)Hence peremeter = Length…

Q: Chas vertices A(1: 3): B(4: 1) and C(6: 4), Prove that

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

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Q: What figure is formed when the points K(-2, 10), L(8, 8), M(6, 2), and N(-4, 4) are connected…

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Q: Square RSTU has vertices R(-3,4), S(8, 4), T(8, –7), and U(-3, -7). What is its perimeter?

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Q: do the points (-1,1) , (-3,5), and (0,8) form a tight triangle ?

A: We can check if the triangle formed by A, B, C is right triangle by two methods: 1) By checking if…

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

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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: 5.) Determine whether AXYZ is an acute, right,or obtuse triangle for the given vertices. Justify…

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Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: 7. Show that points (6, 1), (2, - 4), and (-2, 1) belong to an isoscles triangle.

A: 7. In this question we have to show that the given points belong to an isosceles triangle. Isosceles…

Q: 2. Triangle ABC with vertices A(0, 7). B(7, 3). and C(1, 4): (x, y)→ (x- 3, y – 4)

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Q: Show that A(3,0,2), B(4,3,0), and C(8,1,-1) are vertices of a right triangle. At which vertex is the…

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Q: (b) Determine the area of the triangle whose vertices are (1,1.2), (-1/2,0,2.5), and (3/3,2,3/2)by…

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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…

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Q: 2. What are the coordinates of the fourth vertex C so that rectangle ABCD is formed? Bty (-1,6) 81y…

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Q: 7. Escher was an artist who accidentally incorporated non-Euclidian geometry into his work. True or…

A: THE STATEMENT IS ABSOLUTELY TRUE M C ESCHER WAS A DUTCH ARTIST AND HE MANAGED TO REPRESENT MANY…

Q: Find the area of the triangle whose vertices are (1, 1), (2, 2), and (4, 3).

A: The vertices are (x1, y1) = (1, 1), (x2, y2) = (2, 2), and (x3, y3) = (4, 3) The formula to find the…

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

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Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,6),…

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Q: 2. Triangle VWX with vertices -1, 0), W6, 8), and X(4,-3): (x, y) (x-1, y-5)

A: Given coordinates V(-1,0)W(6,8)X(4,-3)Given transformation :(x,y)→(x-1,y-5)

Q: Find the area of the triangle with vertices P(1, 5, -2), Q(1, -1, 0), R(3, 5, 1)

A: If  A x1,y1,z1, Bx2,y2,z2,Cx3,y3,z3  are the vertices  of atriangle  ABC  then     the  Area  of…

Q: What is the area of the triangle ABC with vertices A(1,2,3), B(2, 4, 3), C(1,2, 0) ?

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

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Q: :Prove that (4,-1).(6,0).(7,2)and (5,1) are the vertices of a rhombus.Is it a square?

A: In a square the sides are perpendicular but in a rhombus they need not be. All sides are of equal…

Q: 4. The cocrdinates of the vertices of a triangle are M (-1, -3), A(7.5), ond Y (7. -2). What is the…

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Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: 10. What is the midpoint of the longest side of the triangle with vertices A(1, 4), B(3, 4) and C(3,…

A: first we will draw the triangle then find the mid point of the larger side

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

A: We know that,The peimeter is equal to the sum of thelengths of the sides, which can becalculated by…

Q: 2. Determine whether the three points are vertices of a right triangle. P(-4, 3), Q(2, 5), R(-1, -6)

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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)

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Q: 3. Mr. Cruz would like to buy a lot however, his broker gave the dimension of the lot using the…

A: The area of a quadrilateral when 4 of its vertices in counter-clockwise direction0 is:…

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

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Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

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

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: What are the coordinates of the point on the directed line segment from (-7, 10) to (-2, -5) that…

A: Given points is : -7,10 and -2,-5 m:n=2:3, thereforem=2n=3 -7,10x1=-7y1=10-2,-5x2=-2y2=-5

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 area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x- 3, y+3 4 8 x…

A: Given translation is x,y→x-3,y+3.

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

A: Given The vertices of the triangle are (8, 2), (4, -5), (3, -8) . Perimeter definition: Perimeter is…

Q: 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…

A: We will find out the required solution.

Q: Find the  area of the triangle with vertices P(1,3,5) Q(-1,4,-4) and  R(1,5,4)

A: P1,3,5 Q=-1,4,-4  R1,5,4PQ=OQ-OP     =-i∧+4j∧-4k∧-i∧-3j∧-5k∧PQ=-2i∧+j∧-9k∧PR=OR-OP     =i∧…