Question

REPEDE VA ROGGGG!!!!!!!! toate 4​

Answer 1

$\it 1.\\ \\ a)\ pr_{AS} P=M\\ \\ b)\ pr_{AS} PS=MS$

$\it 2.\\ \\ a)\ T.h. \Rightarrow PM^2=30\cdot50=1500 \Rightarrow PM=\sqrt{1500}=\sqrt{15\cdot100}=10\sqrt{15}\ cm\\ \\ \\ b)\ \Delta MAP-dr\ \hat M=90^o,\ \stackrel{T.P.}{\Longrightarrow} AP^2=MP^2+MA^2 =1500+900=2400\\ \\ AP=\sqrt{2400}=\sqrt{4\cdot6\cdot100}=2\cdot10\sqrt{6}=20\sqrt6\ cm$

$\it T.P.\ \ \^{i}n\ \Delta ABC \Rightarrow PS^2=AS^2-AP^2=80^2-2400=6400-2400=4000$

$\it PS=\sqrt{4000}=\sqrt{400\cdot10}=20\sqrt{10}\ cm$