- #1
nb89
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If the lengths of all 4 sides of a quadrilateral are known, and none of the sides have equal lengths, is it possible to find any of the angles somehow?
Can the angles of a quadrilateral be determined with known side lengths?
- Thread starter nb89
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In summary, a quadrilateral is a four-sided polygon with four angles, also known as a quadrangle. The types of quadrilaterals based on angles are convex, concave, cyclic, and orthodiagonal. The properties of angles in a quadrilateral include a sum of 360 degrees, equal opposite angles, and supplementary consecutive angles (sum of 180 degrees). To find the missing angle, subtract the sum of known angles from 360 degrees. The formula for finding the area of a quadrilateral is: Area = (1/2) x diagonal x (sum of opposite sides).
- #2
tiny-tim
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Hi nb89! 
No … just try making one …
nb89 said:
No … just try making one …
you'll find it's all wibbly-wobbly.
- #3
HallsofIvy
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Well said!
FAQ: Can the angles of a quadrilateral be determined with known side lengths?
What is a quadrilateral?
A quadrilateral is a four-sided polygon with four angles. It is also known as a quadrangle.
What are the types of quadrilaterals based on angles?
The types of quadrilaterals based on angles are: convex, concave, cyclic, and orthodiagonal.
What are the properties of angles in a quadrilateral?
The properties of angles in a quadrilateral are: the sum of all angles is 360 degrees, opposite angles are equal, and consecutive angles are supplementary (their sum is 180 degrees).
How do you find the missing angle in a quadrilateral?
To find the missing angle in a quadrilateral, subtract the sum of the known angles from 360 degrees.
What is the formula for finding the area of a quadrilateral?
The formula for finding the area of a quadrilateral is: Area = (1/2) x diagonal x (sum of opposite sides).