Find the area of ​​a triangle with the coordinates of the midpoints of the three sides in a row (2,1), (−1, 3) and (4,5)

Q: Find all points with integer coordinates located at a distance of 3 from the point (4,5).

A: Using co-ordinate geometry and pythagoras theorem,we can identify all required integral points.

Q: Find the distance between (1, 1/4, 1/2) and (1.5, 1/2, n).

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Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

Q: FInd the distance between the points (0,5) and (-5 ,0)

A: Given points , ( 0 , 5 ) & ( -5 , 0 )

Q: Find an equation of the line through the point ( 3, 5 ) thatcuts off the least area from the first…

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Q: Use polynomial interpolation to find a cubic curve that goes through the points {(0,-3), (1,0),…

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Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: Plot the points 12, 02, 12, - 32, 12, 42, 12, 12, and 12, - 12. Describe the set of all points of…

A: Given points are, 2, 0, 2, -3, 2, 4, 2,1 and 2, -1

Q: A(2 2,4), B(3/2/4,4),(2it12)

A: A=12,2,4B=32,1,4C=12,1,2

Q: A rectangle is inscribed in a right triangle. If the triangle has sides of length 5, 12, and 13,…

A: Let x and y be the length and breadth of the rectangle inscribed in the triangle. Let us take the…

Q: Find the distance d between the points (-4,5) and (3,2).

A: To find the distance between two points -4,5 and 3,2. Solution: We know that distance between two…

Q: Find the distance between the points (3, 1) and (−3, 0).

A: Given Two points; (3,1),(-3,0)

Q: 2) Find the area of triangular ABC of points (4,6,12), (2,7,6) and (-2,5,6).

A: From the given data:

Q: Find the distance between the points (3, 2) and (4, 3)

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Q: Find an equation of the line through the point (3,5) thatcuts off the least area from the first…

A: The line with slope m (where m < 0 through (3, 5)).

Q: Find the distance between the points (-2, 2) and (2, 5)

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Q: A rectangular box which is open at the top can be made from an 6-by-30-inch piece of metal by…

A: A rectangular box which is open at the top can be made from an width 6inch and length30Inch piece of…

Q: Find the distance between P2(4, 6, 8) and P1(3, 4, 6)

A: This question can be solved by applying distance formula.

Q: What are the dimensions of a rectangular wall that can be constructed with 100 feet of brick that…

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Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2,–2). What are the coordinates of the…

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Q: find a formula for the area of triangle in the xy-plane with vertices at (0,0), (a1,a2) and (b1,b2).…

A: To find a formula for the area of triangle in thexy-plane with vertices at (0,0), (a1,a2) and…

Q: Find the distance between the points (0,5) and (-3,2)

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Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius 7

A: Consider the circle with radius 7 be, x2+y2=72x2+y2=49                         …1 Draw the figure of…

Q: Find distance between a = (3, -1, 0, -3) and b = (4, 0, 1, 2).

A: Given a=(3,-1,0,-3) and b=(4,0,1,2) and we have to find distance between a and b

Q: Find the distance between the points. 2 (3, 3), (3, -1) 2 units

A: To find the distance between given to points.

Q: Find the area of a triangle with vertices (-3, 2, 5), (1, 0, 8) and (0, -5, -5). Give your answer…

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Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

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

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Q: Find the distance d between the points (-2, 2, 2) and (-6, 3, -6). d =

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Q: (a) An open top box will be prepared by removing squares from each corner of the piece of cardboard…

A: Sides of the cardboard is 45 cm and 24 cm. Let the squares of side x cm be removed from each corner…

Q: 11. Center at (2, 3), radius 4

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Q: 5. Triangle POR with verlices P(-2, 3). Q(2, 4). and R(1,-1): x -3 P' - R' 111

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Q: Find the area of the region bounded by the graphs of the equations. y = sqrtX(4 − x), y = 0

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Q: Two sides of a square lie on the lines x + y = 1 and x + y + 2 = 0. What is its area?

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Q: Find the distance between the points (5,3) and (3,0)

A: Given,          The distance between between the points 5,3 and 3,0.We know that,          The…

Q: Find the distance between (2,4, -1) and (0,8,3)

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Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.2 3 O 3.4 O 2.8

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Q: thể midpoint of the segment with endpoints (3, 6) and (5, -2).

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Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length…

A: Given,           The area of the largest rectangle that can be inscribed in a right triangle…

Q: Find the area of the triangle and its type "А(1,-2, -2), В(-2,1,-2), С(-2,-2,1)

A: Given- A1,-2,-2, B-2,1,-2 and C-2,-2,1 To Find- The area of the triangle and find the type of…

Q: Determine the dimensions of the rectangle of rectangle of the largest area that can be inscribed in…

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Q: The distance between the centers of three circles which are mutually tangent to each other…

A: Solution

Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: Find the distance between (4,3) and (-3,4) Endpoints: (q-12), (6, p) Midpoint : 3,4)

A: Let , given points x1,y1 =4,3 and x2,y2=-3,4The distance between the point is given by…

Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

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Q: Find two numbers y such that the distance from ( - 3, 2) to (5, y) is 10.

A: To find: The value of y. Given: The distance between the two points -3,2 and 5,y is 10. Concept…

Q: Two sides of a square lie on the lines x+y= 1 and x+y+2 = 0. What is its area?

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