Question

please guy's give me this answer step by step it's really argent for me​

Answer 1

Step-by-step explanation:

given, ar (ABC)= 16 ar(APQ)

thereby, ar (APQ)/ ar(ABC) =1/16

and triABC is similar to Tri. APQ

SINCE, ar ( ABC )/ ar ( APQ)= AB²/AP²=BC²/PQ²=AC²/AQ²

ar(APQ )/ar(ABC) = PQ²/BC²

Implies, 1/16= PQ²/BC²

Implies, PQ/BC = (1/16)½ ( square root of 1/16)

hence, PQ/BC=1/4