Răspuns:
Explicație pas cu pas:
DN=NP-DP=25-16=9cm.
Aplicam Teorema inaltimii in ΔMNP dreptumghic in M.
MD²=DN×DP=9×16=144
MD=√144=12.
In ΔMDP, dreptunghic in D aplicam Teorema lui Pitagora:
MP²=MD²+DP²=12²+16²=144+256=400
MP=√400=20
Aplicam T. Pitagora in ΔMNP;
MN²=NP²-MP²=25²-20²=5²(5²-4²)=5²(25-16)=5²×3²
MN=5×3=15.
