Question

Determine a medida do x

Answer 1

a)
PD(PD+CD)=PB.(PB+AB)

12.(12 + x )=8.( 8 + 16)

144 + 12x = 8 ( 24)

144 + 12x = 192

12x = 192 - 144

12x =48

x= 48 ÷ 12

x= 4


b)


(AP)² = PC(PC+BC)

x² =9(9 + 7)

x² = 9 (16)

x² = 144

x= √144

x=12


c)

AP.PB = CP.PD

3x.(2x+1) = (x + 1)(5x)

6x² +3x = 5x² + 5x

6x² - 5x² + 3x - 5x =0

x² - 2x =0

x( x - 2 ) =0

x - 2 =0

x= 2