Area of quadrilateral knowing 3 sides and 2 angles

  • Thread starter Thread starter j9mom
  • Start date Start date
  • Tags Tags
    Angles Area
AI Thread Summary
To find the area of a quadrilateral with three known sides and two angles, one can use the properties of triangles and trapezoids. The discussion suggests drawing a diagram to visualize the shape, which can help in applying the area formulas for both the trapezoid and the triangle formed within the quadrilateral. The angles provided, along with the known side lengths, can assist in calculating the remaining angles using trigonometric functions. This approach allows for a systematic way to solve the problem by breaking it down into simpler components. Overall, visual representation and strategic application of geometry principles are key to finding the solution.
j9mom
Messages
31
Reaction score
0

Homework Statement


Is there an equation in which I can find the area of a quadrilateral when I know the length of three of the sides and 2 of the angles? Also I really need to find the measurement of the other two angles.


Homework Equations

I know the cos and sin formulas of triangles, and may be I can use that but I do not know how to start

The lengths I know are 15, 12 & 2 and the angles I know are 120 degrees between the 12 and 2 and 120 degrees between the 15 and the side I don't know.



The Attempt at a Solution



I really need a nudge to start.. this is a small portion of a much bigger problem.
 
Physics news on Phys.org
Draw a picture. Find the area of the bottom trapezoid and top triangle then add them.
 
OK, let me try that. I never thought of a trapezoid. Thanks.
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

Find the area of the quadrilateral
Replies
8
Views
2K
Finding area of a non right angled triangle
Replies
9
Views
3K
Find the area of the quadrilateral OCBAO
Replies
8
Views
1K
Area of interior triangle of pyramid normal to a side length
Replies
3
Views
1K
Combinatorics: Counting quadrilaterals in triangle pattern
Replies
2
Views
2K
Trigonometry: finding an angle, area and length of sector of a circle
Replies
2
Views
2K
Solve the problem in the given cyclic quadrilateral
Replies
23
Views
2K
Finding Angle C in an ABC Triangle
Replies
19
Views
3K
Bound correlation coefficient for three random variables
Replies
3
Views
3K
Length of AD inside a triangle ABC
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top