Question

d is a point on the side bc of a triangle abc such that triangle adc =triangle bac show that ca square =cb. cd ​

Answer 1

Answer:

easy

Step-by-step explanation:

Given:d is a point on bc

angle adc=angle bac

to prove : ca2=cb.cd

proof: in triangle ABC and triangle ADC

angle adc=angle bac ( Given )

angle c = angle c ( common angle)

triangle abc & triangle adc are similar triangles (A A similarity criteria)

CA/CB=CD/CA (Similar triangle sides are proportional)

CA*CA=CB*CD

CA2=CB*CD

hence proved