Consider the rectangle inscribed in a right triangle, in such a way that the rectangle sits in the right angle corner of the triangle. Select the dimensions of the rectangle should be maximal.

Q: Find the rectangle whose vertices with one is on side x-axis. on

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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: Can 2 diagonals in cube ever be mapped on to a single diagonal?  No, why?

A:

Q: Find a star in the radial plane topology that does not contain any rationals.

A: The objective is to find the star in the radial plane topology which does not contain any rationals

Q: If possible, use at least two different strategies to determine the number of diagonals of an n-gon.…

A: Let us find the strategies to find the number of diagonals of a n-gon in the next step.

Q: Of all rectangles with given area, A, which has the shortest diagonals? A rectangle with area A has…

A: Dimention are : A×A

Q: How many triangles can be drawn in a plane using 8 non-collinear points?

A: How many triangles can be drawn in a plane using 8 non-collinear points?

Q: Determine the sum of all the vertex angles in a concave octagon.

A: The sum of all the interior angles in a concave polygon is equal to (n-2)×180°. Here, n = no. of…

Q: find its dimensions of height and length of ba:

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Q: Prove: The diagonals of a rectangle intersect to form four congruent segments.

A: Given: Rectangle ABCD. To prove: Diagonals of a rectangle intersect to form four congruent segments.

Q: Which set(s) of tiles could be used to make a perfect square?

A: We have to choose

Q: 2 A cube of side 125 cm is painted red on all the faces and then cut into smaller cubes of sides 25…

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Q: Find the area of the parallelogram with vertices at (-1, –3), (6, 6), (9, –1), and (16, 8).

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Q: what are the possible dimensions of their largest rug?

A: The length of the smaller rug = l = 3 feetThe breadth of of the smaller rectangle = b = 2 feetLet…

Q: In AQRS, mZQ = 11° and mZR = 40°. Which list has the sides of AQRS in order from shortest to…

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Q: Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B. B

A: Given:

Q: Find the area of the triangle whose vertices are (1, 1), (2, 2), and (4, 3).

A: The vertices are (x1, y1) = (1, 1), (x2, y2) = (2, 2), and (x3, y3) = (4, 3) The formula to find the…

Q: 7. Find the perimeter of the figure whose vertices are the midpoints of a quadrilateral with…

A: Distance formula -  √[(x2-x1)2+(y2-y1)2]  Mid point formula -  ( (x2-x1)/2 , (y2-y1)/2 )

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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Q: If Xmin = - 6, Xmax = 10, and Xscl = 2, how should Ymin, Ymax, and Yscl be selected so that the…

A: There are many ways to answer this question. One such answer is as written below.

Q: Let A and B be congruent nonintersecting cubes, with B a translated copy of A. What is the most…

A: To discuss the maximum and minimum number of faces in the convex hull of two cubes (under the given…

Q: :) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).

A:

Q: Every regular space is hereditarily regular.

A: We have to prove that every regular space is hereditarily regular. Consider a regular topological…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A:

Q: Find all points with integer coordinates located at a distance of 3 from the origin.

A: we have to find all points with integer coordinates at a distance of 3 from the origin. Let P(x,y)…

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: 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: Find the number of triangles that can be formed using 14 points in a plane, such that 4 points are…

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Q: If the interval [1, 9] is partitioned into 4 subintervals of equal length, what is ∆x? List the grid…

A: Since n = 4 on the interval 1, 9 then                                               ∆t=b-an=2 where…

Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: We know that,The peimeter is equal to the sum of thelengths of the sides, which can becalculated by…

Q: In ANOP, mZN = 110° and mZO = 38°. Which list has the sides of ANOP in order from longest to…

A: Given that, m∠N=110°, m∠O=38° in ∆NOP

Q: Quadrilateral ABCD is considered a cyclic quadrilateral because there is a circle passing through…

A: for a cyclic quadrilateral the opposite angles are supplementary in nature that means the opposite…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: We know that,The perimeten is equal to the sum of thelenathe of the sides , which can becalculated…

Q: Find the area of the parallelogram whose vertices are (0,0), (7,2), (8, 5), and (1,3).

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Q: Prove that cyclic parallelogram is a rectangle.

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Q: Find the rectangle whose vertices with one is on side X-axis. on

A:

Q: Predict the number of diagonals in a heptagon

A: Answer :  We have to predict the number of diagonals of heptagon is 14 as shown in the figure below…

Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: help!! the assignment is on quadrilaterals, similar triangles, and circles! I really need this…

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Q: Find the area of the traingle formed by the points (8,-5),(-2,-7) and (5,1) byusing Herones formulla

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Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: this small cube and make it

A: Side of the original cube = 4.5 cm The volume of the cube is given by volume = side3 find the volume…

Q: Compute the adjoint of the foll

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

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.

Q: Determine the number of ways in which the vertices of an equilateraltriangle can be colored with…

A: For each vertex, we have 5 choices of colors There are 3 vertices So total number of ways to color…

Q: Find the areas of the triangles whose vertices are given A(0, 0, 0), B(-1, 1, -1), C(3, 0, 3)

A: Given the vertices of the triangle A(0,0,0) , B(-1,1,-1) and C(3,0,3) We need to find the area of…

Q: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

A: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)