Question

∆ABC ~ ∆DEF and their areas be, respectively 64cm² & 121cm². If EF= 15.4. Find the value of BC.

Answer 1

It is given that △ABC~△DEF.
Therefore, ratio of the areas of these triangles will be equal to the ratio of squares of their corresponding sides.

ar(△ABC)ar(△DEF) = BC2EF2Let BCbe x cm.⇒ 64121 = x2(15.4)2⇒ x2 = 64 × 15.4 × 15.4121⇒ x = 64 × 15.4 × 15.4121‾‾‾‾‾‾‾‾‾‾‾‾√= 8 × 15.411= 11.2

Hence, BC = 11.2 cm

Answer 2

Answer:

here is your answer mate..