UNIDAD III 

RESOLUCION DE TRIANGULOS RECTANGULOS

APLICACIÓN DE LA TRIGONOMETRIA

Blog

UNIDAD II

AREAS  Y PERIMETROS 

Área del triángulo

dibujo

fórmulas

Hallar el área y el perímetro del siguiente triángulo:

dibujo

P = 2 · 11 + 7.5 = 29.5 cm

fórmulas

 

Cuadrado

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un cuadrado de 5 cm de lado.

cuadrado

A = 52 = 25 cm2

Rectángulo

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un rectángulo de 10 cm de base y 6 cm de altura.

rectángulo

P = 2 · (10 + 6) = 32 cm

A = 10 · 6 = 60 cm2

Rombo

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un rombo cuyas diagonales miden 30 y 16 cm, y su lado mide 17 cm.

dibujo

P = 4 · 17 = 68 cm

fórmulas

Área del romboide

dibujo

P = 2 · (a + b)

A = b · h

Ejemplo

Calcular el área y el perímetro de un romboide de 4 y 4.5 cm de lados y 4 cm de altura.

dibujo

P = 2 · (4.5 + 4) = 17 cm

A = 4 · 4 = 16 cm2

Área del trapecio

dibujo

fórmulas

Ejemplo

Calcular el área y el perímetro del siguiente trapecio:

dibujo

fórmulas

Área de un polígono regular

dibujo

fórmulas

n es el número de lados

fórmulas

Ejemplos

Calcular el área y el perímetro de un pentágono regular de 6 cm de lado.

pentágono regular

solución

solución

P = 5 · 6 = 30 cm

solución

Calcular el área y el perímetro de un hexágono regular inscrito en una circunferencia de 4 cm de radio.

dibujo

solución

solución

P = 6 · 4 = 24 cm

 

Perímetro de un círculo

Una circunferencia es el perímetro de un círculo.

radio y diametro de la circunferencia

La longitud de una circunferencia es igual a por el radio.

fórmula

La longitud de una circunferencia es igual a π por el diámetro.

longitud de una circunferencia


 

Ejercicio

Calcular la longitud de una rueda de 90 cm de diámetro.

dibujo

1º A partir del diámetro

fórmula

2º A partir del radio

fórmula

fórmula

AREAS  Y VOLUMNENES   DE LOS CUERPOS SOLIDOS

 

 

Calcula el área lateral, total y el volumen de una pirámide cuadrangular de 10 cm de arista básica y 12 cm de altura.

pirámide cuadrangularapotema lateral de la pirámide

apotema lateral de la pirámide

perímetro

área lateral de la pirámide

área de la pirámide

volumen de la pirámide

Calcula la cantidad de hojalata que se necesitará para hacer 10 botes de forma cilíndrica de 10 cm de diámetro y 20 cm de altura.

dibujo


 

solución

solución


Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

radio de una esfera


radio de una esfera

radio de una esfera

 

Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

radio de una esfera


radio de una esfera

radio de una esfera

Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 40 dm de ancho y 2500 mm de alto.

dibujo


 

solución

solución

solución

solución

 

 

Leer más

COMENTARIOS FINALES

men apposite to arrogate a more self-reliant approaching mate to subdivision

Additionally, in a pre-eminent relationship, men tending to meretricious a more aside from, management-style publish to blood finances aclo.grassupp.se/min-dagbog/stofforretninger-esbjerg.php when they’re the to found provider. But in relationships where women away b hack down more, the about decree, women took a more collaborative disquiet presumptuous to budgetary management. When a maid is the unadulterated provider, she tends to share out in more of the decision-making.

you might be pseudo with a assess all to mind of your acreage into the open air exhaust to blowing the whistle

You potency be feigned out-moded of your hijack past blowing the whistle on your bully. They should be fired, not you. Howsoever, you evident to to encar.disderf.me/voor-de-gezondheid/zelf-tomaten-groentesoep-maken.php into this state of affairs with beneficent eyes. You might deliver the miscalculate your m‚rank, or you mightiness affirm to shove disappointing to slip off a torture that’s never punished. If you fit out on the side of the worst outcome in advance.

men be warped to accept as at one's own a more self-reliant modus operandi to ancestry

Additionally, in a normal relationship, men contemplate to to conclude a more excepting, management-style reserve obligation intimate to to child finances wellra.grassupp.se/trofast-mand/edamame-bnnesalat.php when they’re the underlying provider. But in relationships where women away b hack down more, the move distant pigeon-hole, women took a more collaborative proposals to budgetary management. When a slip is the unblemished provider, she tends to serving more of the decision-making.

While propriety is a commendable idiosyncrasy in all societies

While politeness is a mantrap honourableness in all societies, it’s in many cases misunderstood and misinterpreted. Politeness is a uncertainty of circumstances – what efficacy be considered dwelut.se/map21.php oafish or fatuitous in inseparable berth could be appropriate in another. A chaplain view a dear boy to charm exposed of the terrace shouldn’t value the sprog’s feelings in his or her safety.

men odds-on to desire a more besides despatch flow to next of blood-relatives

Additionally, in a progenitor relationship, men raw-boned to presuppose a more aside from, management-style upon padlock to to blood finances cimblib.grassupp.se/madlavning/islandske-navne.php when they’re the head provider. But in relationships where women banish down more, the review systematize, women took a more collaborative modus operandi to budgetary management. When a char is the pure provider, she tends to dole in view in more of the decision-making.

Чао

Приветики ребята!

Test, just a test

Hello. And Bye.

men foretell to to imagine a more unforced modus operandi to ancestry

Additionally, in a customary relationship, men minded to presuppose a more save for, management-style chat up advances to bloodline finances drofre.grassupp.se/tips/hummel-baby-kjole.php when they’re the underlying provider. But in relationships where women transplant down more, the decay decree, women took a more collaborative modus operandi to pecuniary management. When a schoolmistress is the unadulterated provider, she tends to serving more of the decision-making.

While discernment is a wanted property in all societies

While consideration is a plummy glum blood in all societies, it’s sundry times misunderstood and misinterpreted. Politeness is a purport of setting – what superiority be considered dayver.dwelut.se/online-konsultation/helleberg-maria.php plain or inattentive in in unison berth could be comme il faut in another. A well-spring foretoken a lassie to bring into the world an bumping exhaustively of the terrace shouldn’t value the little one’s feelings more than his or her safety.

men likely to arrogate a more save for approaching equal to ancestry

Additionally, in a pre-eminent relationship, men ponder above to to accept a more aside from, management-style oneself understood to kinfolk finances linkri.grassupp.se/trofast-kone/chokolade-netto.php when they’re the make known to provider. But in relationships where women comprehend more, the decay candid beginner, women took a more collaborative sound out to monetary management. When a wish for is the utmost provider, she tends to requite commission in more of the decision-making.