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INTRODUCCION
Los algoritmos son la demostración de un proceso por
medio del diagrama de flujo y seudocódigo la demostración
de cada uno de su paso, por lo tanto, vamos a demostrar
cómo se calcula el área y volumen de figuras irregulares y
que método se utiliza para, y que formulas se aplica para
cada uno de los casos.
También planteamos un problema de solución para calcular
las respectivas áreas y volumen. Demostrando por medio
del algoritmo los resultados
2
PROBLEMA PLANTEADO
Ejercicio
Un triángulo de 90 ° que tiene como base 15 cm y de altura
20 cm
Hallar:
1. El área del Triangulo
2. El volumen del triángulo si es forma de un prisma
Solución
Primero que todo vamos a realizar la figura del triángulo
rectángulo
Figura 1. La altura es h=20cm y su b =15cm
3
Su formulas es:
𝐴 =
𝑏𝑥ℎ
2
𝐴 =
15 𝑐𝑚𝑥20𝑐𝑚
2
= 150𝑐𝑚^2
El área del triángulo es de 150cm^2
4
DIAGRAMA DE FLUJO DEL ALGORTIMO
INICIO
Digitar la
longitud de la
base
Digitar la
longitud de la
altura
Realizar la operación
𝐴 =
𝑏𝑥ℎ
2
Mostrar el resultado
Del area
FIN
5
Algoritmos de cálculo del área de un triángulo rectángulo
1. Inicio
2. Digitar la longitud de la base
3. Digitar la longitud de la altura
4. Realizar las operaciones
5. Mostrar los resultados
6. Fin
6
7
Calcular el Volumen de un Prisma en forma de un triángulo
de un rectángulo
Luego hallamos el área del prisma que es
𝐴 =
1
2
(𝑏)(ℎ)
𝐴 =
1
2
(8)(9)
8
𝐴 =
1
2
72
𝐴 =
72
2
= 36𝑐𝑚^2
V= A* h
V= (36) (15) = 540cm3
9
DIAGRAMA DE FLUJO DEL ALGORTIMO
INICIO
Digitar la
longitud de la
base
Digitar la
longitud de la
altura
Realizar la operación
𝑉 = 𝐴 ∗ ℎ
Mostrar el resultado
Del area
FIN
10
CONCLUSIONES
 En el cálculo del área de un triángulo rectángulo los
resultados se dan en cm2
 En cambio, en el volumen los resultados se dan en cm
cúbicos.
 Por parte los algoritmos son los pasos a pasos que se
realizan para hacer una operación matemática, donde se
da el inicio con el título del caso y los pasos a pasos que se
realizan para llegar a un resultado final

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Algortimos del area y volumen de figuras plana

  • 1. 1 INTRODUCCION Los algoritmos son la demostración de un proceso por medio del diagrama de flujo y seudocódigo la demostración de cada uno de su paso, por lo tanto, vamos a demostrar cómo se calcula el área y volumen de figuras irregulares y que método se utiliza para, y que formulas se aplica para cada uno de los casos. También planteamos un problema de solución para calcular las respectivas áreas y volumen. Demostrando por medio del algoritmo los resultados
  • 2. 2 PROBLEMA PLANTEADO Ejercicio Un triángulo de 90 ° que tiene como base 15 cm y de altura 20 cm Hallar: 1. El área del Triangulo 2. El volumen del triángulo si es forma de un prisma Solución Primero que todo vamos a realizar la figura del triángulo rectángulo Figura 1. La altura es h=20cm y su b =15cm
  • 3. 3 Su formulas es: 𝐴 = 𝑏𝑥ℎ 2 𝐴 = 15 𝑐𝑚𝑥20𝑐𝑚 2 = 150𝑐𝑚^2 El área del triángulo es de 150cm^2
  • 4. 4 DIAGRAMA DE FLUJO DEL ALGORTIMO INICIO Digitar la longitud de la base Digitar la longitud de la altura Realizar la operación 𝐴 = 𝑏𝑥ℎ 2 Mostrar el resultado Del area FIN
  • 5. 5 Algoritmos de cálculo del área de un triángulo rectángulo 1. Inicio 2. Digitar la longitud de la base 3. Digitar la longitud de la altura 4. Realizar las operaciones 5. Mostrar los resultados 6. Fin
  • 6. 6
  • 7. 7 Calcular el Volumen de un Prisma en forma de un triángulo de un rectángulo Luego hallamos el área del prisma que es 𝐴 = 1 2 (𝑏)(ℎ) 𝐴 = 1 2 (8)(9)
  • 8. 8 𝐴 = 1 2 72 𝐴 = 72 2 = 36𝑐𝑚^2 V= A* h V= (36) (15) = 540cm3
  • 9. 9 DIAGRAMA DE FLUJO DEL ALGORTIMO INICIO Digitar la longitud de la base Digitar la longitud de la altura Realizar la operación 𝑉 = 𝐴 ∗ ℎ Mostrar el resultado Del area FIN
  • 10. 10 CONCLUSIONES  En el cálculo del área de un triángulo rectángulo los resultados se dan en cm2  En cambio, en el volumen los resultados se dan en cm cúbicos.  Por parte los algoritmos son los pasos a pasos que se realizan para hacer una operación matemática, donde se da el inicio con el título del caso y los pasos a pasos que se realizan para llegar a un resultado final