la presa

Geometría Analítica
UNIDAD 1
Misión 5
La Presa
Con las coordenadas de cada punto calcula los perímetros y áreas de las 4 partes que forman la presa, también responde las preguntas solicitadas.Cálculo de Perímetros

Enrocamiento A1

ENROCAMIENTO: A(0,0), B(10,0), C(16,30)



Ejemplo; BC = = = = 30.59
AB = = 10
CA = = 34
PERIMETRO: =AB+BC+CA = 10+30.59+34=74.59 m
Corazón A2

CORAZON: A(18, -8), B(22, -8), C(24,0), D(26,0), E(19,30), F(16,30), G(10,0), H(13,0)
AB = = = 4
BC = = = = 8.2
CD = = = = 2
DE = = = =30.8
EF = = = = 3
FG = = = = 30.59
GH = = = = 3
HA = = = = 9.43
PERIMETRO = 4+8.2+2+30.8+3+30.59+3+9.43= 91.02 m

Filtro A3

FILTRO: A(26,0), B(27,0), C(20,30), D(19,30)

AB= = = = 1
BC = = = = 30.8
CD = = = = 1
DA = = = = 30.8
PERIMETRO = 1+30.8+1+30.8= 63.6 m



Enrocamiento A4

ENROCAMIENTO: A(27,0), B(37, 0), C(20,30)

AB= = = = 10
BC == = = 34.4
CA = = = = 30.8

PERIMETRO: 10+34.4+30.8= 75.2 m

Cálculo de Áreas:


Enrocamiento A1

ENROCAMIENTO: A(0,0), B(10,0), C(16,30)

0
0
10
0
16
30
0
0
A=Area = ½(0+300+0-(0)-(0)-(0))= ½(300)= 150 m2
Corazón A2

CORAZON: A(18, -8), B(22, -8), C(24,0), D(26,0), E(19,30), F(16,30), G(10,0), H(13,0)


18
-822
-8
24
0
26
0
19
30
16
30
10
0
13
0
18
-8






A =























Área=1/2(-144+0+0+780+570+0+0+(-104)-(0)-(0)-(300)-(480)-(0)-(0)-(-192)-(-176)= ½(690)= 345 m2







Filtro A3

FILTRO: A(26,0), B(27,0), C(20,30), D(19,30)
26
0
27
0
20
30
19
30
26
0


A =

















Area=1/2(0+810+600+0-780-570-0-0)= ½(60)=30 m2


Enrocamiento A4

ENROCAMIENTO: A(27,0), B(37, 0), C(20,30)

27
0
37
0
20
30
27
0

A=













Area =...