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Use Pythagoras on the triangle formed by two adjacent sides and the diagonal between their other ends:
diagonal = √(122 + 122)
= 12 x √2
~= 16.97 units
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Find the length of a side of a square whose diagonal is 4cm?
a≈2.83cm The sides are the square root of 8 cm, approximately 2.8284 cm
How do you find the area of a square whose diagonal is 7.5 cm?
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How do you find the diagonals of a square when you have the area of the square?
A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.
The corners of a square lie on a circle whose radius is 5m. What is the length of the side of the square?
So the diagonal of the square will be 10m Use Pythagoras' theorem to find the length x of the square: x2+x2 = 100 2x2 = 100 Divide both sides by 2: x2 = 50 Square root both sides: x = 7.071067812 Therefore: length of one side = 7.071067812 meters
What is the diagonal length of square when sides are 5 in length?
If you are familiar with Pythagoras's theorem you will know that it is 5x5 + 5x5 => 25 + 25=50 find the square root of fifty and you will have your answer
What is the length of the diagonal of a square whose sides are 1cm?
Using Pythagoras's theorem, you will find that the diagonal is sqrt(2) = 1.4142 cm (approx),
Find the length of a side of a square whose diagonal is 4cm?
a≈2.83cm The sides are the square root of 8 cm, approximately 2.8284 cm
How do you find the area of a square whose diagonal is 7.5 cm?
Check
How do you find lengths of sides of square when know length of its diagonal?
A square has 4 sides of equal length (say x). The diagonal length = x * (2)^0.5 = 1.414x, from Pythagorus's theorem. So, dividing the diagonal length by the square root of 2 will be the answer.
How is the length of a diagonal of a square found?
As a square has right angles, the diagonal forms a right triangle with two of the sides of the square. Therefore use Pythagoras: diagonal² = side² + side² → diagonal² = 2side² → diagonal = side × √2 Therefore to find the length of the diagonal of a square, multiply the side length of a square by the square root of 2.
If you have the diagonal and with of a rectangle how do you find the Perimeter?
Square the diagonal and take away the square of width, this gives you the square of the other side. Add the square root of the two sides and multiply by two.
How do you find area of square if diagonal is given?
Using Pythagoras' theorem which says that the square on the hypotenuse (in this case the diagonal) is equal to the sum of the squares on the other two sides (which in the case of a square would be equal in length). so if the diagonal measured 10 units, the square on the diagonal would be 100 square units. And as this = 2*the squares on the other sides, the square on one side would be 100/2 = 50 square units. As a square has sides of equal length the square on one side is actually the area of the square. i.e. the area of a square with a diagonal of 10 units is 50 square units. or generically the area of a square with a diagonal of length 'x' = (x2)/2
How do you find out the length of a diagonal in a square?
Use Pythagoras. The diagonal, and two sides of the square form a right angled triangle. So if each side of the square is x cm long, the diagonal is x*sqrt(2) cm long.
How do you find the diagonals of a square when you have the area of the square?
A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.
If you use the Pythagorean theorem to find the length of a diagonal in a square and all sides are 25m would the answer be 1250m?
Doesn't seem likely, does it? A diagonal 50 times the length of the sides? Diagonal = sqrt(252 + 252), ie sqrt 1250(!) which is 35.36 to the nearest hundredth.
How do you find the side of a square if you know its diagonal?
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
What is the formula to find the diagonal of a rectangle?
The diagonal of a rectangle is the third and longest side of a triangle with sides the same as those of the rectangle, so its length is the square root of the sum of the squares of the lengths of the sides of the triangle, (Pythoagoras' Theorem) which are also the sides of the rectangle. If the rectangle is 3 inches by 4 inches, then the diagonal is the square root of 3 squared (= 9) and 4 squared (= 16) so the diagonal is the square root of 16 + 9 = 25, giving it the length of 5 inches.
