Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

Geometry challenge. Question to follow in drawing.

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

|dw:1328465419159:dw|
there are 3 squares next to each other. prove C = A + B
3 squares with the same side length I presume?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

yes - 3 identical squares
BTW: This is a geometry challenge - so no trig allowed :)
Okay I can solve it using height and distance, one interesting fact: \( \sin(C-B) = \sin (C) \sin (B) \)
Snap! asnaseer :P
Oh man, this sucks!
:D - think "outside" the box
Comone why not use trig? :P
ok - lets see the trig solution. but there is a very elegant geometric solution if you can find it. :)
Hmm Asnaseer rules :D
I'm off to have some food - will be back soon ...
I can't seem to be able to find a geometrical proof. Here's a proof using trigonometry: We have \(\sin C=\frac{1}{\sqrt{2}}\), \(\sin B=\frac{1}{\sqrt{5}}\), \(\sin A=\frac{1}{\sqrt{10}}\), and \(\cos A=\frac{3}{\sqrt{10}}\), \(\cos B=\frac{2}{\sqrt{5}}.\) It's easy to show that \(\sin C=\sin(A+B)\) and hence \(C=A+B \text{ because } A,B, C \in (0, \frac{\pi}{2}).\)
I'll let this problem /simmer/ for a while before showing the geometric proof - unless of course someone actually proves it by then :)
any hints?
I gave a hint above - think "outside" the box :)
I guess I can give another hint to you guys, here it is...
|dw:1328468434372:dw| essentially, you want to try and prove that D=B
It can be proof using Euclidean concepts of geometry i.e. using theorems, postulates, axiom etc... It is actually difficult. But intresting.
There is actually a much easier proof using only the properties of similar triangles.
Yes I know in terms of Euclidean Geometry. These properties of triangles are followed by, called, postulates.

Not the answer you are looking for?

Search for more explanations.

Ask your own question