formula of diagonal of parallelogram
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How do you find the length of a diagonal?
What is the diagonal measurement of a rectangle 150 feet in length by 100 feet in width? Use the Pythagorean Theorem (a^2 + b^2 = c^2). A and B are the lengths of the two sides of the rectangle. To getthe length of the hypotenuse, you would need to solve for C. C is the square root of (A squared plus B squared).
Diagonal of a Parallelogram
Formula of parallelogram diagonal in terms of sides and cosine β (cosine theorem)
p=d1=a2+b2−2abcosβ−−−−−−−−−−−−−−√
q=d2=a2+b2+2abcosβ−−−−−−−−−−−−−−√
Formula of parallelogram diagonal in terms of sides and cosine α (cosine theorem)
p=d1=a2+b2+2abcosα−−−−−−−−−−−−−−√
q=d2=a2+b2−2abcosα−−−−−−−−−−−−−−√
Formula of parallelogram diagonal in terms of two sides and other diagonal
p=d1=2a2+2b2−d22−−−−−−−−−−−√
q=d2=2a2+2b2−d21−−−−−−−−−−−√
What is the diagonal measurement of a rectangle 150 feet in length by 100 feet in width? Use the Pythagorean Theorem (a^2 + b^2 = c^2). A and B are the lengths of the two sides of the rectangle. To getthe length of the hypotenuse, you would need to solve for C. C is the square root of (A squared plus B squared).
Diagonal of a Parallelogram
Formula of parallelogram diagonal in terms of sides and cosine β (cosine theorem)
p=d1=a2+b2−2abcosβ−−−−−−−−−−−−−−√
q=d2=a2+b2+2abcosβ−−−−−−−−−−−−−−√
Formula of parallelogram diagonal in terms of sides and cosine α (cosine theorem)
p=d1=a2+b2+2abcosα−−−−−−−−−−−−−−√
q=d2=a2+b2−2abcosα−−−−−−−−−−−−−−√
Formula of parallelogram diagonal in terms of two sides and other diagonal
p=d1=2a2+2b2−d22−−−−−−−−−−−√
q=d2=2a2+2b2−d21−−−−−−−−−−−√
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