[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 83

 

OK, next problem (boring maths again, Richie).

A square is marked with a point on each side and the square is erased. Restore it.

 

connect all the points "in a circle"

we get 4 hypotenuse right triangles with vertices outside and then ...

For each hypotenuse there are two versions of the triangle but the initial square is 1

 

Why do these four points have to be on the same circle?

 
Mathemat >>:

А почему эти 4 точки должны находиться на одной окружности?


can I answer it :-)

because it is exactly a square :-)

 

One more problem :-)

How many angles in a triangle?

 
xeon писал(а) >>

can I answer it :-)

because it's exactly a square :-)

No, it doesn't have to be a square...

 
Mathemat >>:

А почему эти 4 точки должны находиться на одной окружности?


I got it in my head.

Well, let it be the perimeter.

Too lazy to draw.

 
Mathemat >>:

В квадрате отметили по точке на каждой стороне, а сам квадрат стёрли. Восстановите его.


Infinite squares can be drawn for the given 4 points. What else hasn't been said?

By the way, they will not be placed on a circle.

 
TheXpert >>:


Для данных 4 точек можно нарисовать бесконечно квадратов. Что еще не сказано?


draw
 
xeon >>:

Ишо одна задачка :-)

Сколько углов у треугольника?


I will look in the guidebook and let you know tomorrow=))