Irregular hexagon

There is an irregular hexagon whose sides are the same length. The opposite sides are parallel; their distance is 237, 195, and193. What is its area?

Correct answer:

S =  89590.8868

Step-by-step explanation:

a1=a2==a6=a a1a4 a2a5 a3a6  h1=d(a1,a4) h2=d(a2,a5) h3=d(a3,a6)  h1=237 h2=195 h3=193  s=31 (h1+h2+h3)=31 (237+195+193)=3625=20831208.3333 S1=s (sh1) (sh2) (sh3)=208.3333 (208.3333237) (208.3333195) (208.3333193)49150.556 a=3h1 h2 h3=3237 195 193207.3863  S1=a h1=207.3863 23749150.556 S2=a h2=207.3863 19540440.3309  S=S1+S2=49150.556+40440.3309=89590.8868



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 1 comment:
Math student
There is an irregular hexagon whose sides are the same length.
If  a1=a2=a3=a4=a5=a6 it is regular hexagon.
There is an irregular hexagon whose opposite sides are the same length....
Then is a=87,18... b=135,68... c=137,99... d=360,84...
Area of hexagons is:
S=Sd-Sa-Sb-Sc  =36875,1 (Sd; Sa; Sb; Sc is area of  equilateral triangels).





Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: