[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 83
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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?
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?
can I answer it :-)
because it's exactly a square :-)
No, it doesn't have to be a square...
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.
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.
Для данных 4 точек можно нарисовать бесконечно квадратов. Что еще не сказано?
drawИшо одна задачка :-)
Сколько углов у треугольника?
I will look in the guidebook and let you know tomorrow=))