a=a_(c)*c
MK=sqrt(MT*MN)
MK^2=sqrt(MT*MN)
10^2=MT*26
[b]MT=100/26[/b]
b^2=c^2-a^2
b^2=26^2-10^2=(26-10)*(26+10)=16*36=4^2*6^2=(4*6)^2=24^2
b=[b]24[/b]
KN=[b]24[/b]
b=b_(c)*c
KN^2=TN*MN
24^2=TN*26
[b]TN=576/26[/b]
Проверка:
MT+TN=(100/26)+(576/26)=676/26=26
2.
h=sqrt((a_(c)*b_(c)))
h^2=a_(c)*b_(c)
12^2=ML*LM
Пусть
ML=x; LM=25-x
12^2=x*(25-x) - квадратное уравнение
x^2-25x+144=0
D=625-4*144=625-576=49
x_(1)=9 ; x_(2)=16
ML=9; тогда LM=16
ML=16; тогда LM=9
3.
h=sqrt((a_(c)*b_(c)))
h^2=a_(c)*b_(c)
KE^2=ME*EN
6^2=ME*8
ME=36/8=[b]4,5[/b]
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