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Question Number 201166 by mnjuly1970 last updated on 01/Dec/23

Answered by mr W last updated on 01/Dec/23

$$\frac{ah}{2}=4$$$$\Rightarrow h=\frac{2\times 4}{\sqrt{2}}=4\sqrt{2}$$$$h\times \cot B+h\times \cot C=a$$$$\Rightarrow \cot B+\cot C=\frac{a}{h}=\frac{\sqrt{2}}{4\sqrt{2}}=\frac{1}{4}$$

Commented by mnjuly1970 last updated on 01/Dec/23

$$bravosirthanksalot...\underset{―}{\underbrace{⋚}}$$

Commented by mr W last updated on 01/Dec/23

Commented by mr W last updated on 01/Dec/23

$$a_1=h\cot B$$$$a_2=h\cot C$$$$a=a_1+a_2=h(\cot B+\cot C)$$$$S=\frac{ah}{2}=\frac{a^2}{2(\cot B+\cot C)}$$$$\Rightarrow \cot B+\cot C=\frac{a^2}{2S}=\frac{{\left(\sqrt{2}\right)}^2}{2\times 4}=\frac{1}{4}$$

Commented by mnjuly1970 last updated on 01/Dec/23

$$sonicemaster.grateful$$

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