You solve diagonals by finding the two perpendicular bases. You do the Pythagorean theorem to find them out.
The diagonal of a rectangle can be found with the Pythagorean Theorem, since
the diagonal is the hypotenuse of the right triangle formed by the sides of the
figure. It is the square root of the sum of the squares of the two sides.
Finding the diagonal of a parallelogram would require some knowledge of trig.,
e.g. the law of cosines, or something equivalent.
It has 40 diagonals.Improved Answer:-Using the formula for diagonals of a polygon: 0.5*(442-132) = 902 diagonals
It is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
Number of sides - 2
There are 275 diagonals in a shape with 25 sides. The formula is n*(n-3)/2
Using the formula (x)(x-3)/2 = Diagonals ; simply replace the diagonals with the number of diagonals you're given. Then, you'll havev (x)(x-3)/2 = Diagonals. Simplify it, and you'll be given x(power of 2) - 3X = (2)(Diagonals). Subtract the amount of diagonals from both sides, and you'll have x(power of 2) - 3X - 2Diagonals = 0. From there, use the quadratic formula to find the number of sides the polygon has.
There are 560 diagonals by using the diagonal formula
It has 170 diagonals by using the diagonal formula
It has 40 diagonals.Improved Answer:-Using the formula for diagonals of a polygon: 0.5*(442-132) = 902 diagonals
n side polygon has n(n-3)/2 diagonals therefore a hexagon has 9 diagonals
None because it does not comply with the formula 0.5*(n2-3n) = diagonals
Using the diagonal formula: 0.5*(182-54) = 135 diagonals
Using the formula: 0.5*(n2-3n) it has 54 diagonals
Using the formula: 0.5*(142-42) = 77 diagonals
1/2*(n2-3n) = diagonals when n equals number of sides.
For a 9 sided polygon it is: 0.5*(92-(3*9)) = 27 diagonals
1/2*(n2-3n) = number of diagonals Rearranging the formula: n2-3n-(2*diagonals) = 0 Solve as a quadratic equation and taking the positive value of n as the number of sides.
The formula is: 0.5*(n2-3n) = number of diagonals when n is the number of sides of the polygon