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Question Number 18721 by Tinkutara last updated on 28/Jul/17

Let ABC and ABC′ be two non-  congruent triangles with sides AB = 4,  AC = AC′ = 2(√2) and angle B = 30°.  The absolute value of the difference  between the areas of these triangles is

$$\mathrm{Let}\:{ABC}\:\mathrm{and}\:{ABC}'\:\mathrm{be}\:\mathrm{two}\:\mathrm{non}- \\ $$$$\mathrm{congruent}\:\mathrm{triangles}\:\mathrm{with}\:\mathrm{sides}\:{AB}\:=\:\mathrm{4}, \\ $$$${AC}\:=\:{AC}'\:=\:\mathrm{2}\sqrt{\mathrm{2}}\:\mathrm{and}\:\mathrm{angle}\:{B}\:=\:\mathrm{30}°. \\ $$$$\mathrm{The}\:\mathrm{absolute}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{difference} \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{areas}\:\mathrm{of}\:\mathrm{these}\:\mathrm{triangles}\:\mathrm{is} \\ $$

Answered by ajfour last updated on 28/Jul/17

Commented by ajfour last updated on 29/Jul/17

is it correct?

$$\mathrm{is}\:\mathrm{it}\:\mathrm{correct}? \\ $$

Commented by Tinkutara last updated on 29/Jul/17

Yes. Thank you very much ajfour Sir!

$$\mathrm{Yes}.\:\mathrm{Thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much}\:\mathrm{ajfour}\:\mathrm{Sir}! \\ $$

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