It depends on what information you have: the length of a side, or the lengths of the diagonals, or a diagonal and an angle. Each of these will give rise to a different formula.
If by that you mean knowing only the diagonal and the width, then by the formula a2+b2=c2, where a is the length, b the width and c the diagonal. To find the width b, you need to calculate sqrt(c2-a2). For example, the width of a rectangle with length 3 and diameter 5 is sqrt(52-32)=4
The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length = √[152 + 82 - 2(15)(8)cos 100⁰] diagonal length ≈ 18 The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length =√[152 + 82 - 2(15)(8)cos 80⁰] diagonal length ≈ 16
The diagonal length is about 18.44 inches.
You can use the distance formula to show that all four sides are the same length. The shape must, therefore, be a rhombus or square. If you then show that the length of the diagonal is sqrt(2) times the length of the side then, by Pythagoras, the diagonal and sides from a right angled triangle. The shape must, therefore, be a square.
-- A rectangle has no 'formula'. -- The length of the diagonal is 24feet 10.62inches (rounded)
Use Pythagoras' theorem to find the length of the diagonal of a rectangle.
If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14* The diagonal of any square is the side length times (sq rt 2).
The diagonal length = 7.07 inches.
The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.
It depends on what information you have: the length of a side, or the lengths of the diagonals, or a diagonal and an angle. Each of these will give rise to a different formula.
The length of the other diagonal works out as 12cm
If by that you mean knowing only the diagonal and the width, then by the formula a2+b2=c2, where a is the length, b the width and c the diagonal. To find the width b, you need to calculate sqrt(c2-a2). For example, the width of a rectangle with length 3 and diameter 5 is sqrt(52-32)=4
The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length = √[152 + 82 - 2(15)(8)cos 100⁰] diagonal length ≈ 18 The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length =√[152 + 82 - 2(15)(8)cos 80⁰] diagonal length ≈ 16
You need to use trigonometry cosine (angle) = length/diagonal diagonal = length/cos(angle)
The length of the diagonal is about 16.03 feet.
The diagonal length is about 18.44 inches.