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How do you find the area of a square whose diagonal length is 5 cm?
Wiki User
∙ 13y ago
Using Pythagoras, the length of the side can be calculated:
Since it is a square, the two shorter lengths are the same, so:
2 x side2 = diagonal2
=> side = sqrt(diagonal2 / 2)
And once the side is known, the area can be calculated:
area = side2
= diagonal2 / 2
Wiki User
∙ 13y ago
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Diagonal of a square whose area is 36?
The diagonal of a square whose area is 36 is the square root of 72, or about 8.49. Since the area of a square is side(squared), then the sides are each 6. Then since a(squared) + b(squared) = c(squared), for a triangle (the diagonal), you get the square root of 72.
The area of a square is 100 The length of its diagonal is approximately?
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).
What is the length of the diagonal of a square with an area of 36?
Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 36) = 6√2 ≈ 8.49
How do you calculate the diagonal of the square?
You multiply the length of a side by the square root of 2.If you only have the area, square root it to find the length of a side.
What is the formula to find one side of a square?
The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.
What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
What is the diagonal length of a square with a 900sq ft area?
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
What is the area of a square whose side is equal to the diagonal of a square whose area is 108 meter per square?
The area of square is : 11664.0
Length of a diagonal square with area of 81?
The length of a square with an area of 81 would be 9.
Diagonal of a square whose area is 36?
The diagonal of a square whose area is 36 is the square root of 72, or about 8.49. Since the area of a square is side(squared), then the sides are each 6. Then since a(squared) + b(squared) = c(squared), for a triangle (the diagonal), you get the square root of 72.
What is area of a square the length of whose diagonal is 12?
The area is 72 square units. Explanation: the diagonal,d, is the hypotenuse of a rt. triangle whose legs are both s, the side of the square, so d2= s2 + s2 = 2s2 Therefore , the area of the square , s2 = d2/2 = (12)2/ 2 = 144/2 = 72.
How do you find the length of each side of a square?
If you are given the area of the square, then the length of each side is the square root of the area. If you are given the length of the diagonal of a square, then the lenght of each side is equal to the length of the diagonal divided by the square root of 2. l=sqrt(a) l=d/[sqrt(2)] l=length of side, d=diagonal, a=area, sqrt means square root
How do you find the area of a square given only the length of its diagonal?
Given the length of the diagonal of the square ... call it 'D units'. The area of the square is (1/2 D2) (same units)2.
What is the area of a square whose diagonal is length 5?
3.54Improved Answer:-Let a side of the square be x and use Pythagoras' theorem to find its length:-2x2 = 25x = sqrt of 12.5Area = sqrt 12.5*sqrt 12.5 = 12.5So the area of the square = 12.5 square units
How do you find the area of a square whose diagonal is 7.5 cm?
Check
What is the length of the diagonal of a square if its area is ninety eight inches squared?
The diagonal is 14 inches.
The area of a square is 100 The length of its diagonal is approximately?
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).
