Question

(0) Tune Up these
65. In the adjoining figure (not drawn to scale) AB, EF and CD
are parallel lines. Given that EG=5 cm, GC = 10 cm and
DC = 18 cm. Calculate AC, if AB = 15 cm:
(a) 21 cm
(C) 18 cm
(b) 25 cm
(d) 28 cm​

Answer 1

Answer:

z00 M, Id:6849304329, P:12345

Answer 2

ANSWER:

the answer is option b) 25 cm

EXPLANATION:

in triangleCDG and triangleEFG,

angleEFG = angleCDG [alt int angles]

angleEGF = angleCGD [vertically opp angles]

∴ the triangles are similar [BY AAA criteria ]

   ∴ the sides are proportional

5/10 = EF/18

∴EF = 9 cm -------1

  In triangleABC and triangleEFC

    angleA= angleE [corresponding angles]

     angleB = angleF [ corresponding angles]

 ∴the triangles are similar [BY AAA criteria]

∴ the sides are proportional

   9/15 = 15/AC

AC = 25 cm