Can the angles of a quadrilateral be determined with known side lengths?

  • Thread starter nb89
  • Start date
  • Tags
    Angles
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).
  • #1
nb89
37
0
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?
 
Mathematics news on Phys.org
  • #2
Hi nb89! :smile:
nb89 said:
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?

No … just try making one …

you'll find it's all wibbly-wobbly. :biggrin:​
 
  • #3
Well said!
 

Related to 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).

Similar threads

MHB Lengths of the sides of quadrilateral
    • General Math
Replies
1
Views
848
MHB Max Area of Simple Quadrilateral w/ Sides $a$ & $b$: Justification
    • General Math
Replies
4
Views
2K
What is the difference between the two sine rules for resultant vector?
    • General Math
Replies
4
Views
317
MHB Calculating Triangle Side Length with Known Angles and Radius
    • General Math
Replies
2
Views
1K
MHB How to Find the Area of Quadrilateral ABCD with Given Side Lengths and Angles?
    • General Math
Replies
2
Views
1K
MHB Find Measure of ∠BAD in ABCD Rhombus
    • General Math
Replies
3
Views
2K
I Can the same argument be used for both radians and degrees in the sine function?
    • General Math
Replies
3
Views
861
B How to find a length of a "radius" not centered in a circle?
    • General Math
Replies
2
Views
1K
MHB What is the smallest side length BC of triangle ABC with fixed angle and area?
    • General Math
Replies
2
Views
1K
MHB Can an Ellipse Help Solve the Scalene Triangle Problem?
    • General Math
Replies
1
Views
724

Hot Threads

Recent Insights

Back
Top