Question

Let △ABC ∼ △DEF and their areas be respectively 812 and 1442. If EF=24 cm, the length of side BC is

Answer 1

Question:

Let △ABC ∼ △DEF and their areas be respectively 812 and 1442. If EF=24 cm, the length of side BC is

Answer:

${\huge{\boxed{\mathcal{\red{11.2}}}}}$

Explanation:

△ABC∼ △DEF

$\frac{Ar△ABC}{Ar△DEF}={BC/EF}²$

$\frac{64}{121}={BC/15.4}²$

$BC=\frac{√64}{121}×15.4$

$BC=\frac{8}{11}×15.4$

BC=11.2cm

[Hope this helps you.../]