Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using the converse of the Pythagorean Theorem.  We must first find the length of all three sides of the triangle by finding the distance between the vertices. d(A,B)= d(B,C)= d(A,C)=   Find the area of the triangle:

Q: Find the perimeter of a hexagon with vertices A(-2,4) B(3,6) C(8,4) D(7,1) E(3,-1) and F(1,-1) round…

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Q: Plot the points A(1,0), B(5,0), C(4, 3), and D(2, 3) on a coordinate plane. Draw the segments AB,…

A: We have to plot the points A(1,0) ,B(5,0),C(4,3) D(2,3) on the coordinate plane. Next we have to…

Q: Find the midpoint of the sides of the quadrilateral LOVE with vertices L(-3, -2), O (0, 6), V(4, 4),…

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Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

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Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: The given diagram is, Since, ∆ABC is equilateral triangle. AB=BC=AC. ⇒AB2=BC2=AC2 Suppose point A…

Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given that three vertex of parallelogram are Aa1,a2 ,Bb1,b2 and Cc1,c2 if the area of the triangle…

Q: For proving the theorem "The midpoint of the hypotenuse of a right triangle is equidistant from all…

A: It is possible to prove the theorem for any triangle whatsoever, but from the point of view of this…

Q: Consider a quadrilateral with vertices ܵS(-7, 2), Q(0.5, 3), R(3/2, -9/2), E(-6, -5.5) Determine…

A: The given question can be solved by using distance formula and the property of various types of…

Q: 2) A RIEHT TRIANGLE HAS LEGS OF LENGHS I6 AND 30, WHAT IS THE LENGTH OF THE HYPOTENUSE 2

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Q: Points Y, B, and Q are shown on the coordinate plane.   Part A: If Y, B, and Q are the vertices…

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Q: The quadrilateral ABCD has vertices A(-4, -3), B(-3, 2), C(2, 4), and D(4, -3).  Find the perimeter…

A: We will find the perimeter by simply making use of the formula to find distance between two points…

Q: (b) 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…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

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 equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given: Three fixed vertices of a parallelogram are Aa1,a2, Bb1,b2 and Cc1,c2. The area of triangle…

Q: A baseball diamond is a square, 89.0 ft on a side, with home plate and the three bases as vertices.…

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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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, -2,…

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Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: Show that the points A(2, 3), B(4, 9), and C(-2, 7) are the vertices of an isosceles triangle. Find…

A: The triangle is as below:

Q: The coordinates of the vertices of a triangle are G(-4, 2), O(5, -1), and T(10, 8). What is the…

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

A: If we can find the height of the triangle then area can find out using 12×base×height

Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

A: Solution

Q: Given a Triangle of three vertices A(2,3), B(4,2) and C(3,0), Apply the shearing to the Triangle…

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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: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

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

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

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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 the perimeter of the triangle with vertices at A(0,0) B(-3,-4) C(-5,0)

A: Perimeter of triangle = sun of all sides of a triangle.

Q: Show that the lines 2x+3y-2=0, 3x-2y+23=0 and x-5y+12=0 are the sides of an isosceles triangle. Find…

A: Plot the given 3 st. lines and mark the intersection points forming the triangle.

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

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Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P, (x4,…

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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: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: Two vertices of equivalent triangle are 0, 0  and  2a, 0. Clearly, the distance between 0, 0  and…

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: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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Q: AABF ACBD with obtuse angles at vertices D and F. If mZB = 44° and mZA:MZCDB = 1:3, find mLA.

A: Given:  ∠B=44o, ∠A:∠CDB=1:3

Q: 4) The coordinates of the vertices of triangle SUE are S(-2,-4, Y(2,-1), and E(8,-9). Using…

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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 area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: The vertices of a quadrilateral are G(4, - 1), O(0, 0), L(2, 6), and D(6, 5). Show that…

A: Given: The vertices of a quadrilateral GOLD          G4,-1O0,0L2,6D6,5…

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

A: To solve the given problem

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

Q: The points A(0,0),B(0,5)and C(12,0) are the vertices of a right triangle with 13 units as its…

A: A triangle in which one of the interior angles is 90 degree is called a right triangle. The longest…

Q: The vertices of quadrilateral PQRS form a square P(0, 0), Q(4, 3), R(7, -1) and S(3, -4). Use…

A: locating the points on the graph we get

Q: find the general form of an equatoin for the perpendicular bisector of the segment AB where A=(-1,2)…

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