Question

Let ΔABC ~ ΔDEF, ar(ΔABC) = 169 cm2

and ar(ΔDEF) = 121 cm2

. If AB = 26 cm, then find

DE​

Answer 1

Answer:

22 cm

Step-by-step explanation:

Let ΔABC ~ ΔDEF,

ar(ΔABC) = 169 cm2

and ar(ΔDEF) = 121 cm2

. If AB = 26 cm, then

ar(ΔABC) /ar(ΔDEF) = (AB) ^2 / (DE)^2

169/121=26^2/(DE)^2

(DE) ^2 = 26 X 26 X 121/169

(DE) ^2 = 484 = ( 22 ) ^2

DE = 22 cm