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You use the Pythagorean Theorem, which says that the square of the hypotenuse of a right triangle is the sum of the squares of the other two sides. Two adjacent sides of a square (or any rectangle) together with a diagonal form a right triangle. In the case of a square, the triangle is isosceles. Calling the length of a side of the square (17 inches) one unit, the theorem tells us that the hypotenuse is the square root of 2 units. Therefore the diagonal of the square is 17 times the square root of 2 inches, which is about 24 inches.
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What would be the diagonal measurement of a 43 inch by 25 inch rectangle be?
The diagonal will be 49.739 inches.
How big is 350 square inches?
A square inch is a unit of area measurement which is equal to a square measuring one inch on each side. When converted, 350 square inches is equal to 0.225806 square meter.
What is the maximum size square that will fit into a 2 inch circle?
The square's sides will be the sqrt 2 = about 1.414 inches.(NOTE that this only happens when the circle is 2 inches in diameter. For a circle 3 inches in diameter, the diagonal measurement 3 = (sq rt 2) s and s = about 2.122 inches, not the square root of 3)The largest square will have a DIAGONAL the same length as the DIAMETER of the circle. This is clear when you imagine that it is the largest dimension of any square. With the diagonal length being the hypotenuse of the two right triangles that form the square, the diagonal length equals the square root of the sum of the squares (of the two sides of the square)diagonal = (sq rt 2) x sidediameter = sq rt (s^2 + s^2).2 inches = sq rt (2 s^2)2 inches - (sq rt 2) x s2 inches = 1.414 sand s = 1.414
How do you find the area of a square with a diagonal of 10?
If the diagonal is 10 we know all sides are equal so from pythagoraen theorem each side is 7.07 inch length Area = 7.07 x 7.07 = 50
A square has a side of 5.25 inches what is the diagonal?
To find the diagonal of a square, we can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the two sides of the square are both 5.25 inches. So, the diagonal can be calculated as follows: diagonal = √(5.25^2 + 5.25^2) = √(27.5625 + 27.5625) = √55.125 = approximately 7.42 inches.
