Find the area of the triangle whose vertices are PU,3P), 9L40,3) +

Q: 27. Find the area of the parallelogram with vertices A (-3, 0), B (-1, 3), C (5, 2), and D (3, –1).

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Q: Find the circumcenter of the triangle. 4 2 -2

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Q: Find the area of a quadrilateral with vertices A( - 1 . - 1), 5(9, 4), C(20, 6).and D(10, 1).

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Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: Find the area of the triangle by the points (8,-5) ,(-2,-7) and (5,1) by using herones formula

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A: Given Parallelogram vertex।  A(1,1,1,1)  B(2,3,4) C(6,5,2) , D(7,7,5) Area = ∥AB ×AD∥ AB =…

Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal.   (i) Diagonals bisect each other at right…

Q: Find the area of a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

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: 23. Find the area of the triangle having vertices at (0, 2, 2). (8., 8, -2), and (9. 12. 6).

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Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

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Q: Find the area of the polygon with the given vertices. N(- 2, 1), P(3, 1), Q(3, – 1), R( – 2, - 1)

A: Given points are: N(-2,1), P(3,1), Q(3,-1) and R(-2,-1). The objective is to find the area of a…

Q: Determine the area of the triangle formed by the points A(0,0,0), B(2, 4, 5) and C(6, 5, 8)

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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: The vertices of quad. ABCD are A(2, 0). B{1 , 0). C(7, 5), and D{2, 5). Find the area of quad. ABCD

A: Given  The vertices of quadrilateral  ABCD are A(2, 0). B{1 , 0). C(7, 5), and D{2, 5).

Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: 0, Find a formula for the area of the triangle whose vertices are in R?. V1, and V2

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Q: Find the area of a triangle with sides of length 4, 5, and 6.

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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: The diagonal of a parallelogram divides it into two congruent triangles. True False

A: Given statement is true, The diagonal of a parallelogram divides it into two congruent triangles.…

Q: find the area of the triangle formed by the points (8.-5).(-2.-7) and (5.1) by using Herones…

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Q: Determine the area of the triangle with vertices (9, 1, 6), (9, 1, 7), and (12, 1, 7).

A: Let the given vertices be A=9,1,6, B=9,1,7, C=12,1,7. Find the area of the triangle. The formula to…

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(0,0), (4, 4),…

A: .

Q: Find the area of the parallelogram that has u = (1, 3, 0) and v = (−1, 0, 2) as adjacent sides.

A: Now cross product is,

Q: Find the area of the triangle having the given vertices. (-1, 6), (0, 6), (2, 10)

A: Just I have used the area of triangle formula with given vertices and easily find the required…

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: Verify that the points A(0, 3, 2), B(1, 5, 5), C(6, 9, 5), D(5, 7, 2) are the vertices of a…

A: Given points are A(0,3,2), B(1,5,5), C(6,9,5), D(5,7,2).

Q: A cyclic quadrilateral ABCD is inscribed in a circle whose sides AB-10cm, BC-20cm, CD-30cm and…

A: By Ptolemy's theorem,  We know that, in a cyclic quadrilateral, the sum of product of the two pairs…

Q: What is the area of the parellelogram ABCD if the coordinates of the vertices are A (5,0), B (8,2),…

A: Explanation and solutions is given below....

Q: Let three vertices of a triangle be ?(4, 0, 1), ?(1, 5, 2), and ?(−4, 1, −3). What is the area of…

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Q: Find the areas of the triangles whose vertices are given A(1, 0, 0), B(0, 2, 0), C(0, 0, -1)

A: To find the area of the triangle

Q: Find the area of the triangle with vertices P(4,10,7), Q(−1,4,1) and Q(3,7,2).

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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: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: Find the area of the polygon PQRS with its vertices at P(1, – 1), Q(6, -1), R(6, -6), and S(1, -6).

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Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + 2k as adjacent sides. %3D…

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Q: The diagonal of a parallelogram divides it into two congruent triangles.

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Q: what is the area of ABC with vertices a (4, 1), b (2,-1), and c (-2, -1)?

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Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).

A: The area of the parallelogram with the vertices is given by,

Q: Find the area of the triangle with vertices P(1, 6, –2), Q(0,0,0) and R(2,4, 1). - NOTE: Enter the…

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Q: A(0, 4), B(3, 5), C(-1,4)

A: We can find the area of triangle by applying the area law of triangles.

Q: Find the coordinates of the circumcenter of triangle ABC with A(6,2), B(-2,2), C(6,-4).

A: Consider the triangle ABC with three vertices: A(6,2), B(-2,2) and C(6,-4). The problem requires to…

Q: Find the area of a rhombus with side 17 and longer diagonal 30

A: The rhombus is a quadrilateral whose opposite sides are equal and opposite angles are equal. All the…

Q: determine the altitude of the triangle having a dimension of 150m, 240m and a base of 300m

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Q: Find the area of a triangle with vertices O(1, 1, 1), P(4, 3, 2), and Q(2, 1, 0).

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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 area of the polygon with vertices P(-5, 4), Q(2, 4), and S(1, –1). 61 -6 -5-4-3 -31 -4 -5…

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