Question

D is a point on the side bc of a triangle abc such that angle adc is equal to angle bac show that ac square is equal to c b into cd

Answer 1

Answer:

AC² = CB * CD

Step-by-step explanation:

D is a point on the side bc of a triangle abc such that angle adc is equal to angle bac show that ac square is equal to c b into cd

Comparing ΔABC  & ΔADC

∠BAC  = ∠ADC

∠BCA  = ∠DCA = ∠C  (common Angle)

so third angle also would be equal

=>  ΔABC  ≅ ΔADC

=> BC/AC  = AC/DC

=> BC * DC = AC²

=> AC² = CB * CD

QED

Proved