Show that the points A(2, 3), B(4, 9), and C(-2, 7) are the vertices of an isosceles triangle. Find the perimeter and the area of the triangle using the distance formula.

Q: Show that the points A=(3,4),B=(1,1) ,and C=(-2,3) are the vertices of an isosceles triangle

A: We know, distance d between two points (x1,y1) and (x2,y2) is given by distance formula as:…

Q: ABCD is a parallelogram with A (0,0), B(2,4), and C (10,4), Find the possihl

A: follow next step

Q: Find the lengths of the sides of the triangle PQR. P(5, –2, –1), Q(9,0, 3), R(11, –4, –1) Is it a…

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Q: Find the lengths of the sides of the triangle PQR. Р(1, -3, -4), Q(7, 0, 2), R(10, -6, -4)

A: Given Data: P(x1, y1, z1) = (1, -3, -4) Q(x2, y2, z2) = (7, 0, 2) R(x3, y3, z3) = (10, -6, -4)   The…

Q: Show that the points (-2, 4), (3, -1), (-1, -3) are the vertices of an isosceles triangle, and find…

A: Let the given points be - A = -2, 4B = 3, -1C = -1, -3Now, Let's find the distance AB between point…

Q: ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD. B A

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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: Find the lengths of the sides of the triangle PQR. Р(1, -3, -3), Q(7, 0, 3), R(10, —6, —3) |PQ| %3D…

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Q: Explain in detail why a square could also be: a rectangle, a rhombus, and a parallelogram. You have…

A: Given,         Explain in detail why a square could also be : a rectangle, a rhombus and a…

Q: Hello, any help for this problem would be greatly appreciated. Thank you! 7.4

A: Plot the given points xy-plane and name them in anti-clock wise direction as shown below.

Q: (d) A triangle is equilateral only if all its sides have the same length.

A: d) If all the sides of a triangle are having the same length, then only possibility will be that…

Q: The slant height should be used when finding the perimeter of a parallelogram. O True O False

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Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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Q: Find the value of x that makes the quadrilateral a parallelogram. Зх + 5 5х - 9

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Q: 4x 6x 8.

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Q: The length of the altitude of an equilateral triangle is  . Find the length of a side of the…

A: Equilateral triangle

Q: Show that the points A = (3, 4), B = (1, 1), and C = ( - 2, 3) are the vertices of an isosceles…

A: Given: Points are A = (3, 4), B = (1, 1), and C = ( - 2, 3)

Q: For any parallelogram, provethat the sum of the squares of the lengths of the sides equalsthe sum of…

A: I'm doing the question myself without using the hint.  Let PQRS be a parallelogram.  Let PQ, QR, RS…

Q: Use the Pythagorean theorem to find the lengths of the sides of the right triangle. (3m)(5m)(2m+8)

A: lengths of the sides of the right triangle are (3m), (5m) and (2m+8).

Q: Find the area of the triangle having vertices A (0, 0, 0), B (0,

A: In this question we will use basic of algebra i.e finding area of triangle when coordinate of…

Q: Draw a right triangle with legs of 3.5 m and 2.5 m, and hypotenuse of 4.3 m. find the perimeter and…

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Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…

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Q: find the perimeter of the quadrilateral with vertices p (1,4), Q (-4, -1), R (1, -6) and S (5, -1)…

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Q: Which of the following side lengths of a Triangle DO NOT IN fact make a Right Triangle? * 3, 4,5 9,…

A: In this question given that triangle three sides and ask that which option do not correct for a…

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: Use any method to determine whether the quadrilateral is a parallelogram B(-2, -9), C(0, -5), D(6,…

A: Given Data: Point B: xB, yB=-2, -9 Point C: xC, yC=0, -5 Point D: xD, yD=6, -3 Point E: xE, yE=4, -7…

Q: Find the area of the triangle with the vertices A(2, −3, 4), B(0, 1, 2), C(−1, 2, 0)

A: Given:A2,-3,4B0,1,2C-1,2,0Area of the triangle:Area=12a→×b→

Q: Find the perimeter of the triangle with vertices at A(0,0), B(-3,-4), and C(-6,0). What is the…

A: Given,           The triangle with vertices at A0,0 , B-3,-4 and C-6,0.

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

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Q: Find the area of the triangle with the given vertices (-3, -2), (2, -2), (1, 2). Round to the…

A: Consider a triangle with vertices  −3, −2,2, −2,1, 2

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

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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: Which diagram shows that the two triangles must be congruent

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

Q: ABCD is isosceles, with 2CBD as the vertex angle, and AD as an angle bisector MLADB = 35° %3D Find…

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Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

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Q: Name the type of triangle formed by the points A(-5,6) , B(-4,-2) , C(7,5)

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Q: Find the area of the parallelogram with vertices A(4, 2), B(10, 3), C(6,7), and D(12, 8). Area:

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Q: Give the coordinates of D' after Triangle BCD with vertices B(2,-1), C(4,1) and D(5,-2) is Dilated…

A: Note : When multiple questions posted, then only first question or one preferred question is has tto…

Q: Determine if the parallelogram ABCD is also a rectangle, rhombus, or square

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: Find the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 7,…

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Q: Find the area of the triangle formed by the lines 5л +у — 14 — 0, т+7у +38 — 0, and 9л -5у +2 —0

A: We can find the area of the triangle as below

Q: Find the value of and y quadrilateral is a parallelogram. so that the 2у — 11 y+3 3x 4x-3

A: In a parallelogram,  Diagonals bisects each other. So,  3x = 4x -3 => x = 3

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

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Q: 2. If ARST is an equilateral triangle, find x and the measure of each side 12x-22 10x -6

A: We have to find side