Aiuto, Mediana Triangolo congruente alla meta dell’Ipotenusa?

to safeguard

Ipotesi:
ABC triangolo rettangolo with AB ipotenusa assumed as base.
Relative median CM all’ipotenusa AB
Test:
CM ≅ AM ≅ CM
Spectacle:
Conduction from A parallel AD to side BC and from B parallel DB to side AC
The ACBD parallelogram is a rectangle to be constructed: essendo infatti AC ⊥ BC for ipotesi, is anche
Nel rettangolo le diagonali si bisecano and sono congruent. Final result
AM ≅ CM
Ma poiché M is the midpoint of AB by ipotesi and ed is AM ≅ MB
it’s wide
CM ≅ MB
It is because dismostrato che
AM ≅ CM ≅ MB
resume

In practice, con la costruzione suggests getting a rettangolo.
And all the good colleghi C with D ottieni a uguale all’ipotenusa segment.
The ipotenusa is one of the diagonals, the most segmented.
E poached nel rettangolo the diagonali if dimezzano, diagonal mezza is the relative median all’ipotensa.

kiami AM the median and follows the perpendicular segment of Mal lato AB (MH)
poichè MH is parallel to lato AC (sono entrembi perpendicolari ad AB) allora, applying the theorem: la parallela ad un lato di un triangolo condotta dal point average di un altro lato cade nel point average del terzo lato, ne deduci ke H è midpoint of AB
having MH altezza and median of the triangle ABM, this triangle is isosceles, therefore sarà AM=MB, dove MB is meta proper to ipotenusa

Eccolo il problem coe il tuo con le soluzioni http://x7z.us/RW

Source(s): me

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