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Because the diagonal would be the hypotenuse of a right triangle, its length is the square root of the sum of 802 square inches and 602 square inches, which is exactly 100 inches.

A quicker and easier way to determine the length of the diagonal is to recognize right away that you are working with a 3-4-5 right triangle, one of the classic forms used a lot in education, especially appealing because the length of every side is a whole number. The one in this problem is scaled by a factor of 20, but if you recognize the 3 to 4 ratio between the sides or the 3 to 5 or 4 to 5 ratios between a side and the hypotenuse, your work becomes a lot easier.

Q: What is the diagonal length of a rectangle that is 80 inches long and 60 inches wide?

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To find the length of the diagonal in a rectangle, use the formula for calculating the hypotenuse of a right triangle: a² = b² + c². a² = 3² + 10² a² = 9 + 100 a² = 109 a = 10.44 m

The area of rectangle is : 30.0

The diagonal would be 12.53 meters.

The diagonal creates a right angled triangle with one pair of long and short sides - the diagonal is the hypotenuse. We know the angle between the long side (adjacent) and hypotenuse as 42.6°; We want to find the length of the short (width) side (opposite). We can use the Tan ratio: tan = opposite/adjacent → opposite = adjacent × tan → width = 26.63 in × tan 42.6° = 24.487... in → width is 24.5 inches to the nearest tenth of an inch.

it's four thirds as long as it is wide.

Related questions

Using Pythagoras' theorem it is 26 inches in length

26.4 inches for the diagonal.

Anything you want, so long as (Length in inches)2 + (Width in inches)2 = 1,764

15 inches (solved with the help of Pythagoras' theorem)

The diagonal is 221.2 inches long.

-- A rectangle has no 'formula'. -- The length of the diagonal is 24feet 10.62inches (rounded)

You use the pythagorous theorm to calculate the hypotenuse of the triangle, which is the same line as the diagonal. 7(7)+ 10(10)= diagonal x diagonal 149= diagonal x diagonal Diagonal= square root of 149: this approximates to 12.207in Visit quickanswerz.com for more math help/tutoring! Consider a rectangle with dimensions 7 inches by 10 inches. Let ABCD be the rectangle. We need to find the length of the diagonal. We know that the diagonals of a rectangle are same in length. So, it is enough to find the length of the diagonal BD. From the rectangle ABCD, it is clear that the triangle BCD is a right angled triangle. So, we can find the length of the diagonal using the Pythagorean Theorem. BD2 = BC2 + DC2 BD2 = 102 + 72 BD2 = 100 + 49 BD2 = 149 BD = √149 BD = 12.207 So, the length of the diagonal is 12.21 inches. Source: www.icoachmath.com

157.6102789 inches

44 feet 4 inches

The diagonal of a rectangle with the length of 30 yd and the width of 30 yd is approximately 42.43 yd

15 cm for the diagonal.

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.