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How do you find the diagonal of a rectangle if you know the length and the angle?
Wiki User
∙ 13y ago
You need to use trigonometry
cosine (angle) = length/diagonal
diagonal = length/cos(angle)
Wiki User
∙ 13y ago
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What is the length of a diagonal rectangle with a length of 9 inches and a width of 3 inches?
To find the diagonal length of a rectangle use Pythagoras' theorem for a right angle triangle.
How to find the area of a rectangle from diagonal?
You need to know more...either the angle or the length of one of the sides.
How do you find the width and length of a rectangle if you only know the diagnol?
If the only known fact is the length of the diagonal then the width and length of the rectangle CANNOT be determined. The diagonal could be that of a square, or of a rectangle that is very long but quite narrow. Consequently at least one more fact is required such as; the dimension of either the length or the width, or the angle that the diagonal makes to the base of the rectangle or even the area of the rectangle.
How do you count the number of squares crossed by the diagonal in a rectangle?
To find the length of a diagonal in a rectangle, use the Pythagorean method. Diagonal length = square root(length squared + height squared).
The length of a rectangle is 2 cm and the width is 3 cm Find the length of the diagonal?
The diagonal is 3.61cm
How do your find the diagonal measurement for 120 by 150?
If they are the dimensions of a rectangle then use Pythagoras' theorem to find the length of the diagonal.
What are the steps taken to get the diagonal measurement of a rectangle?
-- Multiply the rectangle's length by itself. ('square' the length) -- Multiply the rectangle's width by itself. ('square' the width) -- Add the two results. -- Find the square root of the sum. It is the length of the diagonal.
Sides of a parallelogram are 15 cm and 8 cm. find the length of each diagonal if the larger angle is 100 degrees?
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
How do you find the length of rectangle diagonally by using the area given?
You can't. Suppose for instance your rectangle is 1xA, then the diagonal length is sqrt(1+A**2). But if your rectangle is sqrt(A)xsqrt(A) then your diagonal length is sqrt(2*A). The only thing one can say for sure is that the diagonal length is at least sqrt(2*A).
How do you find the area of a rectangle from diagonal and 1 angle?
The diagonal multiplied by sin(angle) gives one side of the rectangle and the diagonal times cos(theta) gives the other. So the area is (diagonal)2 x cos(theta) x sin(theta).
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
How do you find the length of a rectangle knowing ONLY the diagonal and the width?
You square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.
