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Question Number 73816 by TawaTawa last updated on 16/Nov/19

Commented by mr W last updated on 16/Nov/19

((a+b)/2)−b=b  ⇒a=3b  ⇒(a/b)=3

$$\frac{{a}+{b}}{\mathrm{2}}−{b}={b} \\ $$$$\Rightarrow{a}=\mathrm{3}{b} \\ $$$$\Rightarrow\frac{{a}}{{b}}=\mathrm{3} \\ $$

Commented by TawaTawa last updated on 16/Nov/19

God bless you sir

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

Commented by TawaTawa last updated on 16/Nov/19

How did you come about the   ((a + b)/2) − b  =  b     sir

$$\mathrm{How}\:\mathrm{did}\:\mathrm{you}\:\mathrm{come}\:\mathrm{about}\:\mathrm{the}\:\:\:\frac{\mathrm{a}\:+\:\mathrm{b}}{\mathrm{2}}\:−\:\mathrm{b}\:\:=\:\:\mathrm{b}\:\:\:\:\:\mathrm{sir} \\ $$

Commented by mr W last updated on 16/Nov/19

Commented by mr W last updated on 16/Nov/19

with a parabola we have:  e=f  h=2f  tan θ=(h/(L/2))=((4f)/L)  just apply this in your question.

$${with}\:{a}\:{parabola}\:{we}\:{have}: \\ $$$${e}={f} \\ $$$${h}=\mathrm{2}{f} \\ $$$$\mathrm{tan}\:\theta=\frac{{h}}{{L}/\mathrm{2}}=\frac{\mathrm{4}{f}}{{L}} \\ $$$${just}\:{apply}\:{this}\:{in}\:{your}\:{question}. \\ $$

Commented by mr W last updated on 16/Nov/19

Commented by mr W last updated on 16/Nov/19

diagonal of square = a+b  ((a+b)/2)=2b  ......

$${diagonal}\:{of}\:{square}\:=\:{a}+{b} \\ $$$$\frac{{a}+{b}}{\mathrm{2}}=\mathrm{2}{b} \\ $$$$...... \\ $$

Commented by TawaTawa last updated on 16/Nov/19

I appreciate your time sir. God bless you sir

$$\mathrm{I}\:\mathrm{appreciate}\:\mathrm{your}\:\mathrm{time}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

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