Show that of all isosceles triangles with a given perimeter , the one with greatest area...

Show that of all isosceles triangles with a given perimeter , the one with greatest area is equilateral.

Expert Solution

milcah answered 2 years ago

Argument A Since all triangles have three sides, and an isosceles triangle is a triangle, it...

Argument A Since all triangles have three sides, and an isosceles triangle is a triangle, it follows that an isosceles triangle has three sides. Argument a is: inductive/deductive; valid/invalid/strong/weak; sound/unsound/cogent/uncogent? Argument B There is a large crack in Philadelphia's Liberty Bell. From this, we can conclude that there was a defect in the bell's craftsmanship. Argument B is: inductive/deductive; valid/invalid/strong/weak; sound/unsound/cogent/uncogent? Argument C Paleontologists now agree that the Tyrannosaurus Rex was actually a peaceful, plant-eating dinosaur. Therefore, it is probably...

Among all triangles with a perimeter of 2s=9 units, find the dimension of the triangle with...

Among all triangles with a perimeter of 2s=9 units, find the dimension of the triangle with the maximum area. (Hint: Heron's Formula for the area of a triangle may be useful - A=Sqrt(s(s-a)(s-b)(s-c).

Let Y = X1 + X2 + 2X3 represent the perimeter of an isosceles trapezoid, where...

Let Y = X1 + X2 + 2X3 represent the perimeter of an isosceles trapezoid, where X1 is normally distributed with a mean of 113 cm and a standard deviation of 5 cm, X2 is normally distributed with a mean of 245 cm and a standard deviation of 10 cm, and X3 is normally distributed with a mean of 98 cm and a standard deviation of 2 cm. 1. Find the mean perimeter of the trapezoid. 2. Suppose X1;X2; and...

Let Y = X1 + X2 + 2X3 represent the perimeter of an isosceles trapezoid, where...

Let Y = X1 + X2 + 2X3 represent the perimeter of an isosceles trapezoid, where X1 is normally distributed with a mean of 113 cm and a standard deviation of 5 cm, X2 is normally distributed with a mean of 245 cm and a standard deviation of 10 cm, and X3 is normally distributed with a mean of 98 cm and a standard deviation of 2 cm. 1. Find the mean perimeter of the trapezoid. 2. Suppose X1, X2,...

13. Minimizing Perimeter: What is the smallest perimeter possible for a rectangle whose area is 36...

13. Minimizing Perimeter: What is the smallest perimeter possible for a rectangle whose area is 36 in2, and what are its dimensions? Also, provide the perimeter and area equations. SHOW WORK. Perimeter Equation: _________________Area Equation: ___________________ Dimensions (include units): ___________Perimeter (include units):___________ 14. Find the linearization L(x) at x = 2 of the function, f(x)=√(x^2+12). SHOW WORK. Linearization L(x): ______________________

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions....

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 77, b = 104, ∠A = 24° ∠B1 = ° ∠B2 = ° ∠C1 = ° ∠C2 = ° c1 = c2 =

If the area of a square is 25 square feet, calculate the perimeter of the

If the area of a square is 25 square feet, calculate the perimeter of the square. Enter the value for the perimeter in the first blank and enter the units in the second. Enter units as ft. or square ft. Round your final answer to tenths if rounding is necessary ?

Determine the area of the largest isosceles triangle that can be written into the unit circle....

Determine the area of the largest isosceles triangle that can be written into the unit circle. It is advisable to let the corners in the triangle be given by (0.1), (x, y) and (−x, y), all on the unit circle, with x ≥ 0 but where we allow y to be negative.

Fiend the dimensions of the rectangle garden producing the greatest enclosed area given 200 feet of...

Fiend the dimensions of the rectangle garden producing the greatest enclosed area given 200 feet of fencing

rite a program that will calculate the perimeter and area of a rectangle. Prompt the user...

rite a program that will calculate the perimeter and area of a rectangle. Prompt the user to input the length and width. Calculate the area as length * width. Calculate the perimeter as 2* length + 2* width. Display the area and perimeter. Please use a proper heading in a comment block (name, date, description of the program). Please use comments in your code. Run your program twice using different input. Copy the output and place it at the bottom...

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Show that of all isosceles triangles with a given perimeter , the one with greatest area...

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Argument A Since all triangles have three sides, and an isosceles triangle is a triangle, it...

Among all triangles with a perimeter of 2s=9 units, find the dimension of the triangle with...

Let Y = X1 + X2 + 2X3 represent the perimeter of an isosceles trapezoid, where...

Let Y = X1 + X2 + 2X3 represent the perimeter of an isosceles trapezoid, where...

13. Minimizing Perimeter: What is the smallest perimeter possible for a rectangle whose area is 36...

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions....

If the area of a square is 25 square feet, calculate the perimeter of the

Determine the area of the largest isosceles triangle that can be written into the unit circle....

Fiend the dimensions of the rectangle garden producing the greatest enclosed area given 200 feet of...

rite a program that will calculate the perimeter and area of a rectangle. Prompt the user...