No triangle exists that minimizes that condition. However, the infinum of the perimeters of all such triangles = twice the distance from (a,b) to the line y = x. That's just an application of the triangle inequality after picking the first two points (one is on the line, the other is (a,b)) of any triangle.
so where do i start for this problem? the length l of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at the rate of 2 cm/sec. when l=12cm and w= 5cm, find the rates of change of area, perimeter, and the lengths of the diagonals of the rectangle.
One side of a rectangle is three times the other. If the perimeter increases by 2%, what is the percentage increase in area? I've started with these few...
To granddad Really sorry if i am getting back to you on this. For the first question perimeter of square , the data was the following: Upper bound perimeter=27.26cm Lower bound perimeter=27.22cm Give the perimeter of the square to an appropriate degree of accuracy As you said The true value of the perimeter lies between 27.22 cm and 27.26 cm.
Show that the perimeter Pn of an n-sided regular polygon inscribed in a circle of radius r is P_{n}= 2n r \sin(\frac{\pi}{n}) Find the limit of Pn as n approaches ∞ My attempt: The sum of the interior angles is \pi (n-2) . If we apply the cosine law to find the length of each side of the...
Perimeter of a circle as a limit of inscribed regular sided polygon