Question

ΔABC ∼ΔDEF, Area of ΔABC = 64Cm2 and area of ΔDEF = 121 cm2, If EF = 15.4cm then find
BC.
OR

In ΔABC, DE∥BC, AD = x+1, DB = x – 1, AE = x+3 and CE = x, find x.

Answer 1

as we know thwt when two triangles are the similar then the ratio of area of two triangles is equal to ratio of square of corresponding sides.

therefore.

area (ABC)/area(DEF)= (bc/ef)^2

bc/ef = root64/root121

bc/ef= 8/11

bc/15.4=8/11

bc= 15.4×8/11

bc= 11.2

hope it helps.

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