Runboard.com
Слава Україні!
Community logo


runboard.com       Sign up (learn about it) | Sign in (lost password?)

Page:  1  2  3  4  5  6 

 
Spikosauropod Profile
Live feed
Blog
Friends
Miscellaneous info

The Prophet & Moderator

Registered: 06-2007
Posts: 5961
Reply | Quote
Re: It can't be true ... can it?


p = 12

legs = 15, 20
8/23/2018, 9:23 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Spikosauropod Profile
Live feed
Blog
Friends
Miscellaneous info

The Prophet & Moderator

Registered: 06-2007
Posts: 5961
Reply | Quote
Re: It can't be true ... can it?


This was much easier than the other, although I started off solving it in a much more difficult way than I had to. It can all be solved with ratio and proportion. Once you see that 16/p = p/9 you are basically done.
8/23/2018, 9:26 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
Live feed
Blog
Friends
Miscellaneous info

Registered Collector

Registered: 04-2009
Posts: 774
Reply | Quote
Re: It can't be true ... can it?


A square is inscribed in a circle.

A smaller square is drawn. It shares a side with the inscribed square and its other two corners touch the circle.

What is the ratio of the large square's area to the small square's area?


Image

---

8/23/2018, 10:05 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
Spikosauropod Profile
Live feed
Blog
Friends
Miscellaneous info

The Prophet & Moderator

Registered: 06-2007
Posts: 5961
Reply | Quote
Re: It can't be true ... can it?


That was the hardest one of all.

I got 25.
8/24/2018, 5:48 am Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
Live feed
Blog
Friends
Miscellaneous info

Registered Collector

Registered: 04-2009
Posts: 774
Reply | Quote
Re: It can't be true ... can it?


the hard part was finding the size of the small square in terms of r (radius)

Image

---

8/24/2018, 9:02 am Link to this post Send Email to Exyooper   Send PM to Exyooper
 
Exyooper Profile
Live feed
Blog
Friends
Miscellaneous info

Registered Collector

Registered: 04-2009
Posts: 774
Reply | Quote
Re: It can't be true ... can it?


A right triangle has a hypotenuse equal to 10 and an altitude to the hypotenuse equal to 6.

What is the area of the triangle?


Image

---

8/24/2018, 11:02 am Link to this post Send Email to Exyooper   Send PM to Exyooper
 
Spikosauropod Profile
Live feed
Blog
Friends
Miscellaneous info

The Prophet & Moderator

Registered: 06-2007
Posts: 5961
Reply | Quote
Re: It can't be true ... can it?


That one is incredibly easy if you realize that 10 is the base of the triangle and 6 is the height. They actually give it away by calling 6 an "altitude".

The area is 30.
8/24/2018, 12:30 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
Live feed
Blog
Friends
Miscellaneous info

Registered Collector

Registered: 04-2009
Posts: 774
Reply | Quote
Re: It can't be true ... can it?


WRONG! This is a trick question. A right triangle with a hypotenuse of 10 can have an altitude (to that hypotenuse) of at most 5.

---

8/24/2018, 12:49 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
Spikosauropod Profile
Live feed
Blog
Friends
Miscellaneous info

The Prophet & Moderator

Registered: 06-2007
Posts: 5961
Reply | Quote
Re: It can't be true ... can it?


Aha! I was not looking for something like that.

Alas, I am a math teacher, and not an engineer. If an engineer misses something like that, it could be tragic.
8/24/2018, 1:32 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
Live feed
Blog
Friends
Miscellaneous info

Registered Collector

Registered: 04-2009
Posts: 774
Reply | Quote
Re: It can't be true ... can it?


Here is a killer problem (with an eloquent solution)

Take an equilateral triangle and pick a random point inside.

Draw from each vertex a line to the random point. Two of the three angles at the random point are known, let's say x and y.

If the 3 line segments from each vertex to the random point were removed out of the original triangle to form a new triangle, what would the new triangle's angles be in terms of x and y?


Image

---

8/24/2018, 2:51 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 


Add a reply

Page:  1  2  3  4  5  6 





You are not logged in (login)

The Collectors is a cabal of fans of the SciFi series "The Lost Room" who want you to join our cause
and search for The Objects, discuss the series and show off your own collection plus help others
with their collection and remember....... some forums are better left closed.