Question

Fie trg.DEF cu masura unghiului D de 90 de grade si DM perpendicular pe EF,M apartine lui EF:a) Daca EM=9cm si MF=16cm,calculati lungimile EF,DE,DF,DM;

b) Daca DE=30cm si EF=50cm,calculati lungimile 
EM,MF,DF,DM;

c) Daca ME=180cm si MF=320cm,calculati lungimile EF,DE,DF,DM.

Plsssssss,e urgentt!!! 

Answer 1

a) EF=9+16=25 cm
teorema inaltimii
DM=√(9x16)=√144=12 cm
DE=√(9²+12²)=√225=15 cm
DF=√(16²+12²)=√400=20 cm

b)EF=√(30²+50²)=√3400=10√34 cm
Aria=EDxDE/2=30x50/2=750 cm
DM=2x750 :10√34 = 150/√34 cm
EM=√30²-(150/√34)²=√(900-22500/34)=√8100/34=90/√34 =(90√34)/34 cm
MF=√50²-(150/√34)²=√(2500-22500/34)=√62500/34=250/√34=(250√34)/34 cm

c) EF=180+320=500 cm
teorema inaltimii
DM=√(180x320)=√57600=240 cm
DE=√(180²+240²)=√90000=300 cm
DF=√(320²+240²)=√160000=400 cm