jugoslav

Your method is right!!!

I was guesstimating... 

PB => x         AP => 2x         AB => 3x

x² + (2x)² = 200          x = 2√10

PR = sqrt[x² + (3x)²] = √400 = 20   

Important: The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2.

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The number of diagonals in a hexagon is =>      [(6 - 3) * 6]/2 = 9

If the side of a hexagon is 1 unit, then 3 diagonals have the lengths of 2 units, and 6 diagonals have the lengths of √3.

So, the product of all 9 diagonals is =>        8 ( 81√3 )

In a rectangle ABCD, point E is on the side CD. The area of triangle ADE is one-fourth of the area of quadrilateral ABCE. What is the ratio of the length of segment DE to the length of segment DC? Express your answer as a common fraction.

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The ratio of [ADE] to [ABCE] is 1 : 4

Let the sides of a rectangle ABCD be 1 and 5        ( [ABCD] = 5)

DE = 2   and  DC = 5

The ratio of DE to DC is 2/5

The length of the path of point B is equal to 3 X arc AC.

Arc AC = {[2(2 / pi)] * pi} / 4 = 1 cm

The path of point B = 3 cm

Red ink shows the path of point B     

∠F = tan^-1(3.5 / 4.8) ≈ 36 degrees

2u + 57 + 2u + 71 = 360

u = 58º

In a certain rectangle, its length is 10 more than its width.  If the area of the rectangle is 264, then what are the dimensions of the rectangle?

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width =>  x         length =>  x + 10

x (x + 10) = 264

x² + 10x - 264 = 0

x = 12

width = 12         length = 22     

12 * 22 = 264 

2 / 5 = ? / 25

? = 10

If an arc of 60° on circle A  has the same length as an arc of 45° on circle B, what is the ratio of the area of circle A to the area of circle B?

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Circle M radius       R_(M) = 1                     |       Circle N radius   R_(N) = [(L_(A) * 8)/pi] / 2 = 4/3

                                                                 |

Arc length   L_(M) = 2rpi = 1.047197551     |        Arc length  L_(N) = L_(M)

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Circle M  area          A = 3.141592654      |       Circle N area      A = (4/3)²pi = 5.585053606

The ratio of the area of a circle M to the area of a circle N is:          A / B = 9 / 16