point P within an equilateral triangle has distance of 4, 5 and 6 units respectively from the vertices. Determine the length of the sides of the equilateral triangle

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Q: Among all rectangles that have perimeter of 20 ft, find the dimensions of the one with largest area?…

A: Let the dimensions for generalized rectangle be length l ft and width w ft. Find the perimeter and…

Q: Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and…

A: To find the length of the radius of the inscribed circle for a right triangle whose legs measure 6…

Q: The area of a quadrilateral with sides 6 cm, 8 cm, 7 cm and 5 cm is 40 cm, Find the area of a…

A: Note:- These are multiple question. According to our company guideline we can do maximum one…

Q: The roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet in the…

A: The roof of a water tower is composed of 6 equal isosceles triangles. The inclined edges is of 17 ft…

Q: a hip roof is in the form of four congruent isosceles triangles with base angles of 30 degrees and…

A: Let the base of the triangle be:  2x

Q: A city park is in the shape of a triangle where the sides have lengths 127 m, 121 m, and 173 m. If a…

A: The side length of the triangular city park are : a = 127 m, b = 121 m, c = 173 m To evaluate : The…

Q: Quadrilateral ABCD is inscribed in circle O as

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Q: Calculate the perimeter of a regular pentagon if the length of each side is 17.

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Q: Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and…

A: We can solve the problem by using the Pythagoras theorem and the formula for incribed circle radius

Q: A cylinder has a height of 44.5 inches and a radius of 22.8 inches Which of the following…

A: Given :Cylinder has a height of 44.5 inches Radius of 22.8 inches

Q: A rectangular polygon consists of 8 squares placed side by side. If the perimeter of the rectangle…

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Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: let ABCDP be a square base pyramid circumscribing a cone whose radius equal to half of base edge of…

Q: What

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Q: Determine the area and perimeter of the quadrilaterals below.

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Q: What is the perimeter of triangle KMP?

A: First we will use the relationship between mid line and the corresponding base.

Q: If the lengths of two sides of a right triangle are 6 and 10, find two possiblelengths for the third…

A: Given: The lengths of two sides of a right triangle are 6 and 10. To Find: Two possible lengths for…

Q: The area of a circle is 97 sq units. If regular heptagon is circumscribed about it, find the…

A: Given that, the area of circle is 97 square units. A regular heptagon is circumscribed about it.

Q: Find the area of an equilateral triangle with radius 2V3.

A: Known fact: The area of equilateral triangle is given by A=34a2 where a is side length of…

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

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Q: What is the perimeter of the parallelogram ABCD?

A: The answer is found in step-2

Q: A decagon is circumscribing a circle with a radius of 12 in. What is the length of the side of…

A: Given radius of in-circle=r=12 in.Let the side of regular decagon be aWe know that decagon has 10…

Q: How many sides does a polygon have if the sum of the measures of the interior angles of a polygon…

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Q: Based on the image attached, it shows a quadrilateral ABCD. Calculate, a) ∠CBD, b) the length, in…

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Q: The sides of a parallelogram have lengths 12 cm and 15 cm. Find the lengths of the sides of a…

A: Sides of parallelogram are 12cm and 15cm. Perimeter of similar parallelogram is 90cm. When two…

Q: If 2 of the vertices of an inscribed quadrilateral are on the diameter, will the inscribed always be…

A: If all the vertices of an inscribed quadrilateral are on the diameter, then the diagonals of the…

Q: A circle with an area 254.469 sq. cm. is circumscribed about a triangle whose area is 48.23 square…

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Q: A square park had a diagonal walkway from one corner to another. If the walkway is 120 meters long,…

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Q: One side of rhombus ABCD is 8 cm in length. If DAB=64°, find BD and AC. %3D

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Q: What is the perimeter of an equilateral triangle with a height of 5/3 ?

A: A detailed solution is given below

Q: As art student wants to take a triangle with side lengths of 9,9 and 15 and enlarge it so that the…

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

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Q: A triangle is equilateral if it has three equal sides. The triangle in the figure is equilateral…

A: We draw an equilateral triangle with side length = 2xDraw an perpendicular line from the top vertex…

Q: A hexagon is circumscribed about a circle of radius 5. If the perimeter of the hexagon is 38, what…

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Q: The keyboard on a particular computer has a rectangular shape where the lenght is 244 mm and the…

A: Solving by given information we have

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: A triangle has side lengths 15 and 8. Which could be the length of the third side?

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Q: If one side of an equilateral triangle has a length of 6, what is the length of its altitude?

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Q: Each side of square MNPQ measures 8 inches. When the midpoints of the sides of the square are joined…

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Q: Find the area of the triangle formed by the points (8, – 5) (-2, – 7)|

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Q: If an isosceles right triangle has legs that are 3 inches long, how long is its hypotenuse?

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Q: A quadrilateral has sides equal to 7, 8, 10, and 12 mm. Assuming that the sum of the opposite angles…

A: Given,            A quadrailateral has sides equal to 7,8,10 and 12 mm. Assuming that the sum of the…

Q: can a triangle with that length of 6 feet 2 feet and 8 feet make a unique triangle , more than one…

A: If the sum of the measures of two shorter segments of a triangle is greater than the measure of the…

Q: what is the area of of the lightly shaded triangles? how can i use the area of the triangle to find…

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Q: What is the perimeter of quadrilateral of MNPQ?

A: The given below image is of quadrilateral MNPQ:   The above-given quadrilateral is a combination of…

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

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Q: Two adjacent sides of a rectangle measure to be 5 and 5. What is the length of it's diagonal,…

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Q: If the perimeter of a pentagon is 2m then what is the width

A: Perimeter of a Pentagon = 2m Width of the pentagon = ?

Q: How many sides does a polygon have if the sum of its angle measures is 2700 degrees?

A: Sum of all the interior angles of a polygon having n sides  =  (n-2)180o