Let Δ ABC ~ Δ DEF and their areas be, respectively, 64 cm² and 121 cm². If EF = 15.4 cm, find BC

Question

Let &#x394; ABC ~ &#x394; DEF and their areas be, respectively, 64 cm 2 and 121 cm 2 . If EF = 15.4 cm, find BC

Philoid · Accepted Answer

It is given that,

Δ ABC ~ Δ DEF

Therefore,

= (² = (² = ()²

Given:

EF = 15.4 cm

ar (ΔABC) = 64cm²

ar (ΔDEF) = 121 cm²

Hence,

= (²

( = ()

BC = ()

BC = 8 * 1.4 = 11.2 cm

Let Δ ABC ~ Δ DEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC