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triangulos t¿rectangulos

Date post: 15-Jun-2015
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Page 1: triangulos t¿rectangulos
Page 2: triangulos t¿rectangulos

EjercicioEjercicio

c=h2+c2c=h2+c2

c=11+3 c=11+3

c=121+9 c=121+9

c=130 c=130

c=11.4c=11.4

111

11

11.43

Page 3: triangulos t¿rectangulos

c=h2+c2 c=h2+c2

c=8+7 c=8+7

c=64+49 c=64+49

c=113 c=113

c=10.6c=10.6

16.6

8

7

Page 4: triangulos t¿rectangulos

c=h2+c2c=h2+c2

c=8+5c=8+5

c=64+25 c=64+25

c=89 c=89

c=9.4c=9.4

9.4

8

5

Page 5: triangulos t¿rectangulos

c=h2+c2 c=h2+c2

c=5+3 c=5+3

c=25+9 c=25+9

c= 34 c= 34

5.85.8

Page 6: triangulos t¿rectangulos

c=h2+c2 c=h2+c2

8.9+8 8.9+8 79.21+64 79.21+64

143.21 143.21

11.9111.91

Page 7: triangulos t¿rectangulos
Page 8: triangulos t¿rectangulos

Angulos complementariosAngulos complementarios

tg=650p tg=650p

ad ad

tg65=op tg65=op

20 20

20(tg65) 20(tg65)

20(2.707) 20(2.707)

54.1454.14

54.14

20

65

Page 9: triangulos t¿rectangulos

tg=45=op tg=45=op

ad ad

tg45=op tg45=op

30 30

30(tg45)=op 30(tg45)=op

30(16.18)30(16.18)

485.4

30

45

Page 10: triangulos t¿rectangulos

tgb=5 tgb=5

4.4 =1.13 4.4 =1.13

tg45º 20; =1.012 tg45º 20; =1.012

1 1

1.0131.013

6

4.4

5

Page 11: triangulos t¿rectangulos

tg=50=op tg=50=op

ad ad

tg50=op tg50=op

30 30

30(tg50)=op 30(tg50)=op

30(1.404)=op 30(1.404)=op

42.12=op42.12=op

42.12

50 30

Page 12: triangulos t¿rectangulos

tg=35=op tg=35=op

ad ad

tg35=op tg35=op

10 10

10(tg65)=op 10(tg65)=op

10(15.12)=op 10(15.12)=op

15.2=op 15.2=op

10

15.2

35

Page 13: triangulos t¿rectangulos

Encuentra la respuesta Encuentra la respuesta correctacorrecta

sena=7 =0.660 sena=7 =0.660

10.6 10.6

41 19 .6583 41 19 .6583

.0020 .0020

.6603 .20 .6603 .20

tangente tangente tgo=op 8 tgo=op 8

=1.1428 1.1370=1.1428 1.1370 ad 7 48 ad 7 48

49 0.000649 0.0006

7

8

10.6

Page 14: triangulos t¿rectangulos

seno=op 3 seno=op 3 =0.2380 =0.2380

hip hip 12.6 12.6

13 13 40 0.2363 40 0.2363

0.2380 0.2380

0.4743 0.4743

Tangente Tangente Tg=0=op =4 =1.333Tg=0=op =4 =1.333 ad 3 69 30 ad 3 69 30

12.6

3

4

Page 15: triangulos t¿rectangulos

Sen =33=0.9217 Sen =33=0.9217 67 10 0.9217 67 10 0.9217 29 50 29 50

0.921=1.8433 0.921=1.8433 tangente tangente tgb=op=14=0.4242 tgb=op=14=0.4242 hd 33 0.4210 hd 33 0.4210 0.84520.845233

1435.8

Page 16: triangulos t¿rectangulos

op =11=15714 op =11=15714 1.5700 1.5700

ad 7 ad 7 57 3 15700 .5709 57 3 15700 .5709 57 3957 39

3

7

11

Page 17: triangulos t¿rectangulos

ejerciciosejercicios

h2=c2+c2 h2=c2+c2 h=3+4 h=3+4 h=9+16 h=9+16 h=25 h=25 h=5 h=5

5

3

6

Page 18: triangulos t¿rectangulos

h=c2+c2 16+16=32h=c2+c2 16+16=32 h=9.9+12.5 p=2x+19.8 h=9.9+12.5 p=2x+19.8

h= 98.01+156.25 h= 98.01+156.25

32+19.832+19.8 h=254.26 p=51.8h=254.26 p=51.8 h=15.94h=15.94

16

19.8

12 .5

Page 19: triangulos t¿rectangulos

sen 36.4=323 sen 36.4=323

1 h 1 h

sen 36.4ih=32.3 sen 36.4ih=32.3 36.4(36.4)(3643) 36.4(36.4)(3643) 36.4 36.4 36.4 36.4

32.3

32.25

Page 20: triangulos t¿rectangulos

h2=c2+c2 h2=c2+c2

h=3+7.2 h=3+7.2

h=9+51.84 h=9+51.84

h=60.84 h=60.84 h=7.8 h=7.8

Page 21: triangulos t¿rectangulos

Ramiro Alejandro serrano cortes Ramiro Alejandro serrano cortes Jonathan Uriel Anguiano Gomes Jonathan Uriel Anguiano Gomes David garcía HernándezDavid garcía Hernández


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