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Question Number 102638 by bemath last updated on 10/Jul/20
to Mr W  i forgot the formula to find  the area of a triangle by  using the three height line
$${to}\:{Mr}\:{W} \\ $$$${i}\:{forgot}\:{the}\:{formula}\:{to}\:{find} \\ $$$${the}\:{area}\:{of}\:{a}\:{triangle}\:{by} \\ $$$${using}\:{the}\:{three}\:{height}\:{line} \\ $$
Commented by Ar Brandon last updated on 10/Jul/20
Permit me to intervain   Maybe you should just search triangle.  It is possible with the recent update.
$${Permit}\:{me}\:{to}\:{intervain} \\ $$$$\:\mathrm{Maybe}\:\mathrm{you}\:\mathrm{should}\:\mathrm{just}\:\mathrm{search}\:\boldsymbol{\mathrm{triangle}}. \\ $$$$\mathrm{It}\:\mathrm{is}\:\mathrm{possible}\:\mathrm{with}\:\mathrm{the}\:\mathrm{recent}\:\mathrm{update}. \\ $$
Commented by bemath last updated on 10/Jul/20
how sir?
$${how}\:{sir}? \\ $$
Commented by mr W last updated on 10/Jul/20
do you mean Q97236?
$${do}\:{you}\:{mean}\:{Q}\mathrm{97236}? \\ $$
Commented by bemath last updated on 10/Jul/20
yes sir. thank you
$${yes}\:{sir}.\:{thank}\:{you} \\ $$$$ \\ $$
Commented by Ar Brandon last updated on 10/Jul/20
I meant in "search question"��
Commented by bemath last updated on 10/Jul/20
������
Answered by bramlex last updated on 10/Jul/20
area = (1/( (√(((1/h_1 )+(1/h_2 )+(1/h_3 ))(−(1/h_1 )+(1/h_2 )+(1/h_3 ))((1/h_1 )−(1/h_2 )+(1/h_3 ))((1/h_1 )+(1/h_2 )−(1/h_3 ))))))
$$\mathrm{area}\:=\:\frac{\mathrm{1}}{\:\sqrt{\left(\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{3}} }\right)\left(−\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{3}} }\right)\left(\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{1}} }−\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{3}} }\right)\left(\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{2}} }−\frac{\mathrm{1}}{\mathrm{h}_{\mathrm{3}} }\right)}} \\ $$

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