Question

If ABC〰ADE.If AE = 2cm EC=3cm and DE = 1.6cm then find BC

Answer 1

Answer:

4cm

Step-by-step explanation:

according to the question, DE is parallel to BC

so if you consider triangle ABC and ADE,

angleA = angleA

angleADE = angleABC

                                                 (as BC parallel to DE)

angleAED = angleACB

Therefore these both triangles are similar

and thus they are all in the same ratio.

AE/AC = DE/BC

2/5 = 1.6/BC       ( AC = AE + EC

                                    = 2 + 3       = 5cm)

BC = 1.6 x 5/2        

      = 4cm

hope its helpful :))))