Home/ Intrebari/Q 72081
Urmator
In Process
florentinageorgiana
user (0)
Pe: 2011-03-20T17:40:25+02:00 In: In:

Teorema lui Pitagora

In triunghiul ABC masura (A) = 90 grade, AD ⊥ BC, D ∈ (BC) se cunosc doua segmente si se cere sa se calculeze celelalte segmente necunoscute:
a) AB = 18 cm si AC = 24 cm. Se cer: BC, BD, DC, AD
b) AC = 20 cm si AB = 15 cm. Se cer AD, BD, BC, CD
c) BC = 40 cm si AB = 24 cm. Se cer AC, BD, DC, AD
d) AC = 12 cm si BC = 20 cm. Se cer BD, AB, DC, AD
e) AB = 15 cm si AD = 12 cm. Se cer BD, BC, DC, AC

Similare

2 raspunsuri

  1. user (0)

    este foarte simplu nu trebuie sa stii decat niste formule
    inutil sa iti facem noi probema cand singur o poti intelege mai bine

    • 0
  2. veteran (III)

    b) AC = 20 cm si AB = 15 cm. Se cer AD, BD, BC, CD

    \rm{\Delta ABC=dr. m(\hat A)=90^0\\Th.Pitagora \Rightarrow BC^2=AB^2+AC^2 \Rightarrow BC^2=15^2+20^2=225+400=625 \Rightarrow BC=\sqrt{625} \Rightarrow BC=25cm\\AD=\frac{AB\cdot AC}{BC}=\frac{15\cdot 20 }{25}=12cm\\Th. Pitagora in \Delta ABD-dr. m(\hat D)=90^0 \Rightarrow BD^2=AB^2-AD^2 \Rightarrow BD^2= 15^2-12^2=(15-12)(15+12)=3\cdot27=81 \Rightarrow BD=\sqrt81 \Rightarrow BD=9cm\red}

    • 0
Raspunde

Raspunde