205 — 210


BC = c = 13
AB + AC = a + b = 17
r = 17 — 13 / 2 = 2


P = 36
BC = c = 15
AB = AC = 36 — 15 = 21
r = 21 — 15 / 2 = 3


<ABC = 80o
<AOC — ?
50 + <O = 180
<O = x + O + y = 180
2x + 80 + 2y = 180
2x + 2y = 100
2(x + y) = 100
x + y = 50


<C = 120o
AC = BC = a
<A = <B = 180 — 120 / 2 = 30o
<OCB = 120:2 = 60o
<OCB = <OBC = 60o
R = a
R = a * b * c / 4 * S
CH = a/2
AH2 = a2/1 — a2/4 = 4a2 — a2 / 4 = 3a2/4
AH = √3a2/4 = a√3/2
AB = a√3
S = a√3 * a/2 / 2 = a2√3/2 * 1/2 = a2√3/4
a2√3/4 * 4 = a2√3


AB = CD
BC = 2
AD = 8
P — ?
BC + AD = AB + CD = 10
P = 20
