Question Number 139114 by EnterUsername last updated on 22/Apr/21 | ||
Commented by mr W last updated on 22/Apr/21 | ||
$${i}'{ll}\:{try}\:{to}\:{give}\:{a}\:{proof}\:{when}\:{i}\:{have}\:{time}. \\ $$ | ||
Commented by EnterUsername last updated on 22/Apr/21 | ||
$$\mathrm{In}\:\Delta\mathrm{ABC},\:\mathrm{origin}\:\mathrm{is}\:\mathrm{the}\:\mathrm{circumcenter},\:{H}\:\mathrm{is}\:\mathrm{the}\:\mathrm{ortho}- \\ $$$$\mathrm{center}\:\mathrm{and}\:{D}\:\mathrm{is}\:\mathrm{the}\:\mathrm{midpoint}\:\mathrm{of}\:\mathrm{the}\:\mathrm{side}\:{BC}.\:\mathrm{If}\:{P}\:\mathrm{is} \\ $$$$\mathrm{any}\:\mathrm{point}\:\mathrm{on}\:\mathrm{the}\:\mathrm{circumcircle}\:\mathrm{other}\:\mathrm{than}\:\mathrm{the}\:\mathrm{vertices} \\ $$$$\mathrm{and}\:{T}\:\mathrm{is}\:\mathrm{the}\:\mathrm{midpoint}\:\mathrm{of}\:{PH},\:\mathrm{then}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between} \\ $$$${AP}\:\mathrm{and}\:{DT}\:\mathrm{is}\:? \\ $$ | ||
Commented by mr W last updated on 22/Apr/21 | ||
$$\mathrm{90}° \\ $$ | ||
Commented by EnterUsername last updated on 22/Apr/21 | ||
$${How}\:{please}? \\ $$ | ||
Commented by EnterUsername last updated on 23/Apr/21 | ||
$${Ok}.\:{Thanks}\:{in}\:{advance} \\ $$ | ||