Chords AB and CD meet at point E. Find CE and DE if AE = 16 cm, BE = 48 cm and CE: DE = 3: 4

univerkov | December 3, 2020 | education

by the intersecting chord theorem
AE * BE = CE * DE
let CE = 3x, and DE = 4x. make an equation
16 * 48 = 3x * 4x
12x ^ 2 = 768
x ^ 2 = 64
x = 8
3 * 8 = 24 cm = CE
4 * 8 = 32 cm = DE
answer: 24 and 32 cm

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