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.​

Answer 1

Answer:

please refer this,

Step-by-step explanation:

AD AE

DB EC

Option (a) is correct

(ii) Since DE || BC, AD

20 AE

[By Thales theorem]

AE [By Thales Theorem]

AB AC

80 100 AE100 = 25 cm

Option (c) is correct.

(iii) We have

AD AE

DB EC (By Thales Theorem)

=> x+1 x+3 = 3x-1 3x+4

= (x+1) (3x + 4) = (x+3)(3x - 1)

⇒ 3x² + 4x+3x+4=3x²-x+9x-3

= 7x-8x=-3-4 = x=7

Option (b) is correct.

(iv) Out of the given options,

Option (d) is correct.

BD AE

AD EC

(v) P and Q are midpoints of sides YZ and XZ respectively.

XQ YP XQ

YP = 1,- =1 => PZ VQZ PZ QZ

⇒ PQ||YX

Option (a) is correct.