Răspuns:
Explicație pas cu pas:
aplicam teorema fundamentala a asemanarii :
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a)
ΔADE≈ΔABC
AE/AC=ED/BC
10/x= 8/14
8x= 14*10
8x=140
x= 140:8
x= 17,5 cm
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b)
ΔCDE≈ΔCAB
(15-x) /15 =6⁽²/10⁽²
(15-x)/15=3/5
5*(15-x)=15*3
75-5x= 45
5x= 75-45
5x=30
x= 30:5
x= 6 cm
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c)
ΔCPQ≈ΔCAB
x/ (x+16) = 6⁽⁶/18⁽⁶
x/(x+16)=1/3
3*x=x+16
3x-x= 16
2x=16
x= 16:2
x= 8cm
