Ensayo topografia

TALLER UNO

MATEMATICAS 1

PRINCIPIOS DE TOPOGRAFIA

JAVIER SOTELO DELGADILLO

INSTRUCTOR

Presentado Por:

SI. JHON ALEXANDER MENDOZA

POLICIA NACIONAL DE COLOMBIA
DIRECCIONNACIONAL DE ESCUELAS
ESCUELA DE SEGURIDAD VIAL

19 de Febrero de 2010

BOGOTA

TALLER UNO DE TOPOGRAFIA

Matemáticas 1

1. Diferencias entre el sistema métrico decimal y sexagesimalEl sistema métrico decimal es el cual está basado en el metro como unidad de medida en el cual los múltiplos y submúltiplos de la unidad de medida están relacionadas entre sí, por múltiplos ysubmúltiplos de 10 y el sistema sexagesimal está basado en número posicional que emplea la base en 60 y se usa para medir el tiempo en horas, minutos y segundos y los ángulos grados, minutos y segundos (90° 30´324”).

2. Enuncie la clasificación de los ángulos

Según sus lados

• Equiláteros

• Isóceles

• Escaleno

Según la amplitud de sus ángulos• Rectángulo

• Oblicuángulo ( obtusángulo, acutángulo, equiángulo)

3. ¿El teorema de Pitágoras se utiliza en triángulos rectángulos, para calcular?

R/= si(verdadera)

4. Desarrolle los siguientes ejercicios con el teorema de Pitágoras:

¿Cuánto medirá la hipotenusa de un triángulo rectángulo cuyos catetos miden 16 y 12 cm respectivamente?

12cma2 + b2 = c2
144 + 256 = c2
144 + 256 = c16 cm C = 20
La hipotenusa mide 20 cm.

¿Cuánto medirá un cateto de un triángulo rectángulo sabiendo que la hipotenusa mide 15 cm. y el otro cateto mide 12 cm?15 cm b2= a2- c2
¿ b2 =225 – 144
12cm b2 = 81…

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