Question

In ΔMNP ,m(<M)=90 grade,AD_I_NP,D∈(NP).Daca NP=25 cm si DP=16 cm ,Aflati MP,MN,MD
Multumesc mult

Answer 1

Cu teorema catetei
\$\ PM^2=PD\cdot PN\Rightarrow PM=\sqrt{16\cdot25}=4\cdot5=20\ cm$
Cu teorema inaltimii
$MD^2=PD\cdot DN\Rightarrow MD=\sqrt{16\cdot9}=4\cdot3=12\ cm$
Cu teorema catetei
$MN^2=PN\cdot DN\Rightarrow MN=\sqrt{25\cdot9}=5\cdot3=15\ cm$