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82
[Heron's Formula]
The Area of a Triangle and Angles
Obtain the area
the triangle
of
sides
from
(A, B, C)
c.
a,
b,
S=x/s(s—a)(s—b)(s—c§-
_a+b+£_300+400+500
_
_
2
2
S=v7600(600—300)(600—400)(600—56(F
=60000
Wigflmeewe
A=sim/
B=sin'1 /4s(s—a2((i§6t3)(s—c)
as
C218O—(A+B)
=90"
300
400
+
(DEG):
+ SOOIHZI'SM
@EwS—'BOOQEEEEEMfO
@3500$3@E
(60000.)~--s
4®8E®®400®500®£§1
E:
8 Q"
(36.869898)
'
4Q@33soocxdisoogngfiJ
{3&1QJ
(53.130102)
E::r180l336.8698983
(90.)
[Heronsche
Fla'che und Winkel
Gesucht
and angles
(S)
(A, B, C)
s=mm
gegeben.
=600
s=/600(600—300)(6oo—4oo)(600—500)
A=sin
=53.1
301 02"
B=sin'1
C=180—(A+B)=90"
(DEG)
600.)-
IIIB
QQQ
szooIQQI
4IIQQ400
Bu£2fi3
4IIQQ
BEN".-
@I18OB
Flachenformel]
eines
Dreiecks
sind die Flache
und die Winkel
(S)
eines Dreiecks;
Seiten
die
_a+b+c_300+400+500
*
s—
2
2
=6oooo
4s(s—a) s—b)(s—c)
=36.869898°
(DC)2
/4s(s—a)((s;2b)(s-c)=53.130102"
as
@300E400"500E]2@@
(600.)-~s
300III®EJ
400
(60000.)-~-S
I
soon:
(:32
(36.869898)
(3&5
300Q
500
'
(53.130102)
36.869898E} (90.)
c sind
b,
a,
=600
IIE]
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