MHB Proving Two Triangles are Congruent

  • Thread starter Thread starter bearn
  • Start date Start date
  • Tags Tags
    Triangles
bearn
Messages
11
Reaction score
0
IMG_20220316_105559.jpg
WW2
 
Mathematics news on Phys.org
What are the three conditions for two triangles to be congruent?

-Dan
 
topsquark said:
What are the three conditions for two triangles to be congruent?

-Dan
SAS, SSS and ASA?
 
bearn said:
SAS, SSS and ASA?
Good! Now, try for SSS on the first one. Is there any way you can show that BN = GI? For the second one, do the same trick but now you have a couple of supplementary angles to work with. Give it a try.

-Dan
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
1
Views
1K
Replies
1
Views
1K
Replies
16
Views
509
Replies
17
Views
2K
Replies
4
Views
1K
Replies
59
Views
1K
Back
Top