Question

In triunghiul ABC, m(<ABC)= 90 grade, BD perpendicular pe AC si AD pe DC = 4 pe 1. Daca AC = 20 cm, aflati lungimile segmentelor AD, DC, si BD.

Answer 1

VEZI FIGURA
AD/DC=4/1
(AD+DC)/DC=(4+1)/1
20/DC=5/1
DC=4⇒AD=4·4=16
in tr dreptunghic ABC cf teoremei inaltimii:
BD²=AD·DC=4·16
BD=8

Answer 2

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