Saturday, December 26, 2009

What would be the formula to use to figure the measurement of a diagonal line across a rectangle?

Pythagorean TheoremWhat would be the formula to use to figure the measurement of a diagonal line across a rectangle?
If you mean a diagonal corner to corner, use the Pythagorean formula - side one squared plus the adjacent side squared equals the diagonal squared (also written as A squared + B squared = C squared).What would be the formula to use to figure the measurement of a diagonal line across a rectangle?
diagonal = sqrt(width^2 + length^2)





Reason: the diagonal of a rectangle forms a right triangle where the legs of the triangle are the width and length of the rectangle (draw it out to see). Therefore, you can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem:





diagonal = (height^2 + length^2)^.5
a虏 + b虏 = c虏


a and b are the length and width and c is the diagnal
A(sq) + B9(sq) = C(sq)





A = 1 side of the rectangle, B = the other side of the rectangle. C = the hypotenuse (diagonal side).
It is the pythagorous theorem which states that in a right triangle square of the hypotenuse is equal to the sum of the squares of the other two sides.


a^2+b^2 =c^2[ where a,b are the 2 sides and c is the


hypotenuse





since the figure you are dealing with is a right triangle , two adjacent sides of the triangle can be considered as the sides of the triangle and the diagonal can be considered as the hypotenuse .





regards Exorcist

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