Question Number 175008 by BagusSetyoWibowo last updated on 16/Aug/22
$${Find}\:{The}\:{Centroid}\:{Coordinate}\: \\ $$$${If}\:{Trapezoid}\:{With}\:{B}_{\mathrm{1}} =\mathrm{4},\:{B}_{\mathrm{2}} =\mathrm{3} \\ $$$${And}\:{Height}=\mathrm{5}\:{With}\:{Positions}\: \\ $$$${Like}\:{This} \\ $$
Commented by BagusSetyoWibowo last updated on 16/Aug/22
Commented by Frix last updated on 16/Aug/22
$$\mathrm{line}\:{A}\mathrm{C}:\:{y}=\frac{\mathrm{4}}{\mathrm{5}}{x} \\ $$$$\mathrm{line}\:{BD}:\:{y}=−\frac{\mathrm{3}}{\mathrm{5}}{x}+\mathrm{4} \\ $$$$\Rightarrow \\ $$$$\frac{\mathrm{4}}{\mathrm{5}}{x}=−\frac{\mathrm{3}}{\mathrm{5}}{x}+\mathrm{4} \\ $$$${x}=\frac{\mathrm{20}}{\mathrm{7}}\wedge{y}=\frac{\mathrm{16}}{\mathrm{7}} \\ $$$${E}=\begin{pmatrix}{\mathrm{20}/\mathrm{7}}\\{\mathrm{16}/\mathrm{7}}\end{pmatrix} \\ $$