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Question-72414




Question Number 72414 by aliesam last updated on 28/Oct/19
Commented by aliesam last updated on 28/Oct/19
a,b and d are centres of three circles   find   ((AC)/(AB))
$${a},{b}\:{and}\:{d}\:{are}\:{centres}\:{of}\:{three}\:{circles}\: \\ $$$${find}\: \\ $$$$\frac{{AC}}{{AB}} \\ $$
Answered by mr W last updated on 28/Oct/19
let AC=a, AB=BD=b  a sin 30°=b sin 60°  ((AC)/(AB))=(a/b)=((sin 60°)/(sin 30°))=(√3)
$${let}\:{AC}={a},\:{AB}={BD}={b} \\ $$$${a}\:\mathrm{sin}\:\mathrm{30}°={b}\:\mathrm{sin}\:\mathrm{60}° \\ $$$$\frac{{AC}}{{AB}}=\frac{{a}}{{b}}=\frac{\mathrm{sin}\:\mathrm{60}°}{\mathrm{sin}\:\mathrm{30}°}=\sqrt{\mathrm{3}} \\ $$
Commented by aliesam last updated on 28/Oct/19
god bless you sir
$${god}\:{bless}\:{you}\:{sir} \\ $$
Commented by mr W last updated on 28/Oct/19

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