Răspuns:
Explicație pas cu pas:
Se foloseste teorema asemanarii
a)
∡C=∡E (unghiuri corespondente )→CB║ED→ΔACB≈ΔAED
AC/AE=CB/ED
10/x=8/14
x= (14x10)/8=17,5 cm
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b)
∡A=∡D→AB║AD
ΔABC≈ΔADE
AB/DE=BC/EC
10/6=15/15-x
10*(15-x)=15*6
¹⁰⁾15-x=(15*6)/10
150-10x=90
10x=150-90
10x=60
x= 60:10
x=6 cm
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c)
∡A=∡P→AB║PQ
ΔABC≈ΔPQC
AB/QP=AC/PC
18/6=(16+x)/x
3x=16+x
3x-x=16
2x=16
x=16:2
x=8 cm
