Question Number 166928 by amin96 last updated on 02/Mar/22
Answered by mr W last updated on 02/Mar/22
$${a}\:{picture}\:{says}\:{more}\:{than}\:{a}\:{thousant} \\ $$$${words}... \\ $$
Commented by mr W last updated on 03/Mar/22
Commented by mr W last updated on 03/Mar/22
$${ECDH}\:{is}\:{cyclic},\: \\ $$$$\Rightarrow{blue}\:{angle}\:\angle{HDE}=\angle{HCE}=\alpha \\ $$$${similarly} \\ $$$$\Rightarrow{red}\:{angle}\:\angle{HDF}=\angle{HBF}=\beta \\ $$$$\Delta{BFH}\sim\Delta{CEH} \\ $$$$\Rightarrow\angle{HBF}=\angle{HCE} \\ $$$$\Rightarrow\angle{HDF}=\angle{HDE} \\ $$
Commented by som(math1967) last updated on 03/Mar/22
$$\angle{HDE}=\angle{HCE}=\alpha \\ $$$$\angle{HBF}=\angle{HBF}=\beta \\ $$$${again}\:{B},{C},{E},{F}\:{also}\:{cyclic} \\ $$$$\therefore\:\angle{EBF}=\angle{ECF} \\ $$$$\therefore\beta=\alpha \\ $$$$ \\ $$
Commented by Tawa11 last updated on 03/Mar/22
$$\mathrm{Great}\:\mathrm{sir} \\ $$
Commented by Tawa11 last updated on 03/Mar/22
$$\mathrm{Great}\:\mathrm{sir} \\ $$
Commented by otchereabdullai@gmail.com last updated on 21/Mar/22
$$\mathrm{nice}! \\ $$