Question

In triunghiul ABC dreptunghic in A AD perpendicular pe BC avem BC=50 cm si BC/DC =9/7 sa se calculeze tot

Answer 1

Răspuns:

B

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A__________________C

BC/DC = 9/7 => DC = (7•50)/9 = 350/9

t.cat.=> AC^2 = DC • BC

AC^2 = 350/9 • 50 = 17500/9 => AC = 50rad7/3

BD = 50 - 350/9 = 100/9

t.cat. => AB^2 = BD • BC

AB^2 = 100/9 • 50 = 500/9 => AB = 10rad5/3

t.h. => AD^2 = BD • DC

AD^2 = 100/9 • 350/9 = 35000/81 => AD = 50rad14/9