Question

calculeaza perimetrul triunghiului DEF dreptunghic in D, stiind ca:
a) EF=10 cm si sin E=0,6
b) tg F= 2 si DE=10 cm
c) cos E= 0,7 si EF= 8 cm
d) tg F= 1,3 si EF= 20 cm

Urgent!!

Answer 1

a.   6/10 = DF/10 => DF= 6 => ED²= EF²-DF²= 100-36=64 => ED= √64=8
P = 10+6+8 = 24

b.  ED/DF= 2, 10/DF=2 => DF=5 ; EF²=ED²+DF²= 100+25=125 => EF=√125=5√5
P= 5+10+5√5=15+5√5=5(3+√5)

c.  ED/EF = 7/10 => ED/8=7/10 => ED= 56/10 = 5,6 ;
DF²= EF²-ED²= 64-56/10=584/10= 292/5 => DF= √292/√5
P= 5,6+8+√292/√5 = 13,6+√292/√5

d. ED/DF= 13/10 => 13DF=10ED