How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices of the triangle lie on the square!

Q: vertices

A: Perimeter of equilateral triangle = 3*side of triangle.

Q: Find the perimeter of a triangle with vertices S(4,5), T(-2,-3) and W(5,-4).

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

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

A: Given points are , (-4,9) , (-2,6), (3,-6)Let P =(-4,9)Q = 9-2,6)R = (3,-6)Hence peremeter = Length…

Q: Builders are wanting to place a movie theater equidistant from three towns. If these three towns…

A: Step:-1 Point of Concurrency :- A point on which three or more lines intersect is called Point of…

Q: If the diagonals of a parallelogram are equal in lengths and its sides are also equal in lengths,…

A: Let PQRS be a parallelogram. In ΔPQR and ΔSRQ, PQ = SR (Opposite sides of a parallelogram are…

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

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Q: Philolaus called the cube a “geometric harmony," because of the num- ber of its faces, vertices, and…

A: Given: History of math-Philolaus called the cube a geometric harmony" because of the number of it's…

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

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Q: Find the area of a triangle whose points are (1, 2), (-2, -1) and (3, 0).

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Q: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: Find the area of the triangle with vertices: Q(4,-5,-2) R(2,-3,-1) S(1,-6,1)

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Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the side of the base.

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Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

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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 circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

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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: Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3)

A: A(2, 1), B(3, -5) and C(1, -3)

Q: In hyperbolic geometry, why can there be no squares or rectangles?

A: This is a problem of differential geometry.

Q: an equilateral triangle has sides of the length 2x+48, 103-3x and 6x+4. What is x?

A: an equilateral triangle has sides of the length 2x+48, 103-3x and 6x+4. What is x?

Q: Find the perimeter of a triangle with vertices S(4, 5), T(-2, -3), and W(5, - 4).

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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: A right triangle has legs of lengths x and 2x + 2 and a hypotenuse of length 2x + 3. What are the…

A: Given, a right triangle has legs of length x and 2x+2 and hypotenuse of length 2x+3

Q: Two vertices of an equilateral triangle are located at (2,0) and (-2,-3). What is the triangle's…

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

Q: Both legs of a right triangle have length 7. What is the length of the hypotenuse?

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Q: a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3. what are the…

A: Given that  a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3.

Q: How many right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x - 5…

A: Given as the right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x…

Q: What is the area of a triangle with the vertices at (-1, 2), (-5, 0), and (-1, -2)

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Q: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: 5. Find the dimension of the largest rectangular building that can be placed on a right-triangular…

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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: What are the coordinates of the top point of an equilateral triangle if the corners of its base are…

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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: The vertices of a square are located at (1,7), (5,3) (1,-1) and (-3,3). What is the approximate…

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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: If both a parallelogram and triangle have the same base and altitude, then the area of the…

A: Given: If both a parallelogram and triangle have the same base and altitude, then the area of the…

Q: 10 6 4 Bo a C 2 -2 -2 2 4 8. 10 12 6 A,

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Q: The Pythagorean Theorem states that for any ______ triangle, the square of the______ is equal to the…

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Q: how do you find the distance  of a triangle with legs of 15 and 7?

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Q: 5. Find the area and perimeter of a rhombus if the diagonals are 6 cm and 8 cm respectively. 6. The…

A: We will solve the problem

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: How do you put parallelograms,rectangles, rhombuses, and squares into a vent diagram and why is that…

A: We need to find a Venn diagram.

Q: Whats the area of a triangle if its vertices are at A (-8,-6), B (6,9) and C (8,-14)

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Q: Hello, can you please show me the complete solution? COMBINATION How many triangles can be drawn…

A: As per given by the question, calculate triangle that can be drawn on a plane 8 non-collinear…

Q: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

A: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

Q: Find the area of the triangle that is determined by the points P₁ ( 2 , 2 , 0 ) , P₂ ( -1 , 0 , 2 )…

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Q: A hypotenuse is the longest side of a right angled triangle? True or False

A: It is true that a hypotenuse is the longest side of a right angled triangle.

Q: How are three-dimensional figures and polygons related?

A: As every figure with faces or edges can be a polygon.

Q: How to find the solutions of a right Triangles?

A: We have to tell how to find the solution of right  triangles.

Q: At the center of the lobby of a hotel is an artificial pond in the shape of an octagon serving as an…

A: Given that there is an artificial pond in the shape of an octagon. Also given that the distance…