Points D and E lie on the sides AB and AC of triangle ABC respectively, and DE is parallel to BC. If AD/DB = 5/7, then EC/AC equals ____.

Question

Accepted Answer

7/12. BPT gives AE : EC = AD : DB = 5 : 7, so AC = AE + EC is 5 + 7 = 12 parts and EC/AC = 7/12. The option 5/12 is AE/AC, the other part; 7/5 just turns the given ratio over; 12/7 is AC/EC, the required fraction upside down.

Points $D$ and $E$ lie on the sides $A B$ and $A C$ of triangle $A BC$ respectively, and $D E$ is parallel to $BC$ . If $\frac{A D}{D B} = \frac{5}{7}$ , then $\frac{EC}{A C}$ equals ____.

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More Class 10 Basic Proportionality Theorem practice

Points D and E lie on the sides AB and AC of triangle ABC respectively, and DE is parallel to BC. If DBAD​=75​, then ACEC​ equals ____.

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More Class 10 Basic Proportionality Theorem practice

Points $D$ and $E$ lie on the sides $A B$ and $A C$ of triangle $A BC$ respectively, and $D E$ is parallel to $BC$ . If $\frac{A D}{D B} = \frac{5}{7}$ , then $\frac{EC}{A C}$ equals ____.