a) State whethe or not. Give reason

Question

A farmer had a triangular piece of land. He put a fence, parallel to one of the sides of the field as shown in the figure.

Based on the above information answer the following questions:

(iii) (a) State whether $\frac{B D}{A D} = \frac{A E}{E C}$ or not. Give reason

Smart Achievers · Accepted Answer

(1)

$N o, b e c a u s e w h e n i n Δ A B C, D E ∥ B C \frac{A D}{D B} = \frac{A E}{E C} (Using BPT) \Rightarrow \frac{1}{A D / D B} = \frac{1}{A E / E C} \Rightarrow \frac{B D}{A D} = \frac{E C}{A E} H e n c e, \frac{B D}{A D} \neq \frac{A E}{E C}$

Solution

Q.
A farmer had a triangular piece of land. He put a fence, parallel to one of the sides of the field as shown in the figure.

Based on the above information answer the following questions:

(iii) (a) State whether $\frac{B D}{A D} = \frac{A E}{E C}$ or not. Give reason

1 $\frac{B D}{A D} \neq \frac{A E}{E C}$

2 $\frac{A D}{D B} \neq \frac{A E}{E C}$

3 $\frac{B D}{A E} \neq \frac{D E}{E C}$

4 $\frac{B D}{A D} = \frac{A E}{E C}$

Ans.
(1)

$N o, b e c a u s e w h e n i n Δ A B C, D E ∥ B C \frac{A D}{D B} = \frac{A E}{E C} (Using BPT) \Rightarrow \frac{1}{A D / D B} = \frac{1}{A E / E C} \Rightarrow \frac{B D}{A D} = \frac{E C}{A E} H e n c e, \frac{B D}{A D} \neq \frac{A E}{E C}$

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Solution

Q. A farmer had a triangular piece of land. He put a fence, parallel to one of the sides of the field as shown in the figure. Based on the above information answer the following questions: (iii) (a) State whether BDAD=AEEC or not. Give reason

1 BDAD≠AEEC

2 ADDB≠AEEC

3 BDAE≠DEEC

4 BDAD=AEEC

Ans. (1) No, because when in ΔABC, DE ∥ BCADDB=AEEC(Using BPT)⇒1AD/DB=1AE/EC⇒BDAD=ECAEHence, BDAD≠AEEC