PA, QB, RC and SD are all perpendiculars to a line l, AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS.
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Given, DE AB
AD/DC=BE/EC (by converse of Thale's theorem)
3x+19/x+3=3x+4/x
x (3x +19) = (3x + 4)(x + 3)
3x2 +19x - 3x2 - 13x = 12
6x = 12
x= 12/6
x=2
AD/DC=BE/EC (by converse of Thale's theorem)
3x+19/x+3=3x+4/x
x (3x +19) = (3x + 4)(x + 3)
3x2 +19x - 3x2 - 13x = 12
6x = 12
x= 12/6
x=2
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