Question

а=13, в=14, с=15. Найти длины всех 3 высот

Answer 1

S = √(p(p-a)(p-b)(p-c))
p= (a+b+c)/2

а=13, в=14, с=15
p=21
S=√(21*8*7*6)= 7*3*4=84

S=1/2 ah h=2S/a

h1=2S/a = 168/13 = 12 12/13
h2=2S/b = 168/14 = 12 
h3=2S/c = 168/15 = 11 3/15 = 11 1/4 = 11,25