Find the lengths of the sides of a triangle whose vertices are at (2, 3), (5, -1), and (-4, -5).

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

A: Given: The vertices of the triangle are as follows, (1,-1,-2),(-2,0,-1) and (0,-2,1)

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: Do the three points (1,−2), (2,4), and (−3,5) form a right triangle?

A:

Q: Find the perimeter of the triangle formed by the points (-7,-4), (1, -3), and (2, 6).

A: The three points of triangle: A(-7, -4), B(1, -3) and C(2, 6) The perimeter of the triangle using…

Q: .If the point (3, -7) is the center of a circle and circumference of the circle?

A: Given the center of the circle (3, - 7)  the point on the circle (8, 5)

Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

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: Determine the cosine of the angles of the triangle whose vertices are (1, −1, 2), (3, −2, 1), (4, 2,…

A:

Q: Show that the triangle whose vertices are A(3, 6), B( - 6, 4), and C(1, - 2) is an isosceles…

A: to show that triangle is isosceles.

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: Locate the image of QUAD with vertices Q (-6,-5) U (-3,4) A (2, 3) D (3, -7) QHor the

A:

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 points of trisection of the segment joining the points (3,-2) and (-9,4)

A:

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: 4. Find the coordinates of the vertices of a triangle knowing that the coordinates of the midpoints…

A:

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

A:

Q: Show that the points (3,4), (-3,7), (-6,1) and (0,-2) for the vertices of a square

A:

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…

A:

Q: Is the triangle with the vertices M(-2,5), N(12,3), Q(10,-11) a right triangle?

A: Solved below

Q: Find the area of the triangle determined by the points P(-3, 6, -4), Q(8, 8, -5), and R(-1, -1, -7).

A:

Q: What is the distance between the origin and the point (4, 3, 3)

A: To find the distance between the origin and the point (4, 3, 3)

Q: Compute the arae of the triangle with vertices (0,0) , (1,1) (-8,-7)

A:

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: Decide whether or not the points are the vertices of a right triangle. (8,-4), (10, 0), (12, -1)

A:

Q: -20 -10 -20- 10- --10- -20- -30- (0, -16) 10 20

A: The distance between the points x1,y1 and x2,y2 is given by the distance formula: (x2-x1)2+(y2-y1)2…

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: triangle

A: Given are the coordinates of vertices of triangle as -1,1, 5,-1 and 4,3 Query is to find the angles…

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

A:

Q: The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6) and (-2, -4). What is the area of…

A:

Q: how to find the length of the diagonal of the box determined by the vertices?

A: We need to find the length of the diagonal of the box determined by the vertices.

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

A:

Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

A:

Q: Find the length of the medians of the triangle whose vertices are (1, -1), (0, 4) and (-5, 3)…

A:

Q: What are the coordinates of the top point of an equilateral triangle if the corners of its base are…

A:

Q: Find the area of the triangle with vertices (0,4), (-8,0) and (-1,-4)

A:

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).

A:

Q: Determine whether (-7,4), (6, -2), (0, -15) are the vertices of a right triangle.

A: The vertices of the triangle are  A-7,4 B6,-2 and  C0,-15 To evaluate : Whether the vertices are of…

Q: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

Q: ). Determine the cosine of the angles of the triangle whose vertices are (1, –1, 2), (3, –2, 1), (4,…

A:

Q: Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then…

A: Let the three parallel lines be l, m, n and the equilateral triangle be ABC.

Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: Verify that the points (-3, 1), (5, 7), and (8, 3) are vertices of a right triangle.

A: Two lines with slopes m1,m2 are perpendicular if m1m2=-1. For a right triangle, two sides are…

Q: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines

Q: a triangle that has vertices (1,1) (-4,1) and (3,3) is

A: A triangle that has vertices (1,1) (-4,1) and (3,3) is

Q: plot the points (5, 3) and (2, -3) in the coordinate plane and find the lengths of the three…

A: GIVEN DATA : Points 5,3 2,-3        TO FIND: Plot the points and find the length of three segments…

Q: Find the lengths of the medians of the triangle with vertices at   A(4, 3, 1),  B(2, 1, 2) and…

A: Length of medians