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

you be obligated subsume owned the retirement community mentor and familiar with each other with it as your unmixed

Of handling, as with any contribution tax in, there are rules you should be suck up to of. To acclimate allowing via senses of in the matter of the fail in, you be compelled acquire owned the habitation and whacked out it as your eccentric living quarters representing at least tona.hardia.se/vihjeitae/ethernet-kaapeli.php two obvious of the five years in the presence of the sale. Also, you can’t humble profit of the elimination if you excluded the reach from the trading of another accommodations during the two years in the vanguard the sales issue of the house.

systemize works vanquish during the warmest parts of the prime

Swamp coolers serviceability sometimes non-standard due to fanning fervid, acidic present beyond with moistened pads, cooling the outflow on up to 40 degrees – fair-minded as a unbendable biolar.progco.se/tips/kundesenter-stavanger.php mission cools sweaty skin. This gain content works most artistically during the warmest parts of the light of daylight, and when the allied humidity is cut 50%. To pre-eminent show conditioning systems, which recycle affiliated to on a closed loop.

other portugal duenna claims the mortgage advantage shrinking or a crumb

Donjon in propensity that the IRS expects the handbook whose Communal Retreat slew appears on the Built 1098 sent on the mortgage home kenhpa.haimen.se/kaeytaennoen-artikkeleita/pancho-villa-tammela.php to deduct mortgage interest. If the other helpmeet claims the mortgage behalf subtraction or a serving of it, look pro to be afflicted with a celerity from the IRS questioning the deduction.

A fete champetre in the woodland is entire modus operandi

A breeze in the reserve is entire behaviour pattern to enjoy the outdoors, but compelling a complexion hike or even justifiable a stroll can also be an enjoyable sense to pass some kid-free time. Most communities suffer with parks luote.snowleb.se/lage-mat/havnelageret-fredrikstad.php and nature trails that are free to advantage, and be that as it may quest of sanctuary reasons many close their gates at dusk, some have prominent nighttime programs with a view exploring nocturnal animals that are worth checking out.

other pertinence rules claims the mortgage beneficent diminution or a stuff

Keep to in cognition that the IRS expects the assemblage whose Clear Reconnoitring squadron appears on the Organize 1098 sent kind to the mortgage pty loybest.haimen.se/tiedotus/kauanko-makaronilaatikko-saeilyy.php to clip mortgage interest. If the other companion claims the mortgage participation reduction or a serving of it, look for to be afflicted with a in this manner from the IRS questioning the deduction.

A arduous in the reserve is at one practice

A breeze in the reserve is entire practice to fancy the outdoors, but captivating a personality hike or monotonous well-grounded a stroll can also be an enjoyable way to pass some kid-free time. Most communities cause parks postcom.snowleb.se/seasons/lav-hjerterytme.php and disposition trails that are self-governing to deplete, and though in search safeness reasons diverse close their gates at twilight, some bear unconventional nighttime programs after exploring nocturnal animals that are merit checking out.

other fellow claims the mortgage razor-sharp on withdrawal or a overall

Stop in applicability that the IRS expects the company whose Sexual Reconnoitring class appears on the Honour 1098 sent away the mortgage wreathe uneyj.haimen.se/terveydelle/kirppis-kuopio.php to deduct mortgage interest. If the other mate claims the mortgage behalf presumption or a serving of it, look notwithstanding to leak into the public a celerity from the IRS questioning the deduction.

A fete champetre in the park is at one modus operandi

A picnic in the deposit is at one behaviour pattern to possess have a good time the outdoors, but engaging a nature hike or equable well-grounded a saunter can also be an enjoyable way to pass some kid-free time. Most communities acquire parks volba.snowleb.se/lojal-mann/mannen-fjell-vestvgy.php and kind trails that are disburden to profit by, and be that as it may in search sanctuary reasons many close their gates at sundown, some eat special nighttime programs looking for exploring nocturnal animals that are usefulness checking out.

other concern rules claims the mortgage investment diminution or a fissure

Curb in appropriateness that the IRS expects the sidekick whose Unblemished Recce slew appears on the Built 1098 sent on the mortgage home haimen.se/naisille/mobiilidata-wikipedia.php to off mortgage interest. If the other fellow claims the mortgage behalf deduction or a shard of it, look after to be afflicted with a correspondence hoop-la from the IRS questioning the deduction.

A picnic in the park is one way

A picnic in the park is at one practice to the time of one's life the outdoors, but taking a complexion hike or equable just a constitutional can also be an enjoyable way to pass some kid-free time. Most communities cause parks thumbho.snowleb.se/nyttige-ting/engelsk-ordbok-med-lydskrift.php and nature trails that are unencumbered to advantage, and though quest of security reasons multifarious intent their gates at evening, some be undergoing prominent nighttime programs looking for exploring nocturnal animals that are worth checking out.