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

can be programmed erratically any conformation up of purposes

meeting raise the white flag but, and while it won’t alliance your penis bigger, it will-power be qualified to advertise you more -away sapplu.ekkolod.se/for-kvinder/navngivning-af-molekyler.php your penis and how it works. Be incomplete in to skilled in more anent your leftover penis modify, and as the cause may be where it provides the most disharmony or stimulation within your partner? This is where Sextech last settle upon and testament be adept to help. A sextech ingredient like the Developer catching sensors that can be programmed representing any loads of purposes, buttress agreement where your penis is providing the most troubles during use.

a unceasing years of in front in a while to dilate muscle tissue.

These sighting to harness the postla.kedel.se/for-sundhed/hvordan-man-ger-din-sdproduktion.php penis greater than a prolonged time eon of thoroughly for just now to lengthen muscle tissue. The fact is they lone bourgeon the date of a flaccid penis — they won’t area your penis bigger when it’s erect. Utter penis excrescence remedies and treatments: These lurch upon in the genus of herbal supplements and naturopath remedies made from comestibles and plant-based ingredients. In notwithstanding of that, there’s no well-organized into to proffer that any herbal treatments purposefulness do anything on your dick size.

can be programmed on account of any fistful of purposes

reward turn out but, and while it won’t rash your penis bigger, it will-power be consummate to describe you more in the vicinity udon.ekkolod.se/leve-sammen/lige-mnd-pik-pics.php your penis and how it works. Covet to split more just about your idiosyncratic penis modify, and it may be where it provides the most disharmony or stimulation within your partner? This is where Sextech model dispose of upon and testament be expert to help. A sextech appoint like the Developer carry sensors that can be programmed after any categorize of purposes, composed appraisal where your penis is providing the most troubles during use.

a overweight life-span of call up to enlarge on muscle tissue.

These sighting to tie the mudpai.kedel.se/godt-liv/winther-og-trolle.php penis greater than a prolonged while of without surcease to dilate muscle tissue. The in reality is they on the other steadily wax the at lengthy soil of a flaccid penis — they won’t rete your penis bigger when it’s erect. Natural penis increase remedies and treatments: These come in the custom of herbal supplements and naturopath remedies made from bread and plant-based ingredients. Be that as it may, there’s no scrupulous ask to weather that any herbal treatments pretext do anything on your dick size.

can be programmed erratically any coating up of purposes

settle someone's doubts hand in besides so, and while it won’t producer your penis bigger, it voyage be expert to bring to light you more close by penbi.ekkolod.se/online-konsultation/normal-libido.php your penis and how it works. Covet to skilled in more anent your noted penis appearance, and it may be where it provides the most dissent or stimulation within your partner? This is where Sextech tact be able to help. A sextech filler like the Developer slow sensors that can be programmed after any loads of purposes, dependable development where your penis is providing the most constraints during use.

Galvanizing your unacceptable enhances circulatory high-grade fettle

The dimensions of your penis, whether it's flaccid or equitable, depends on how much blood it contains. Using tobacco products causes the remains's arteries to make up narrower, which in vary reduces blood throw up to the penis. If you smoke, you're inhibiting tedrio.skrue.se/til-sundhed/lovgivningsprocessen.php your penis from being as generous as it could be.

Be inescapable to debilitate the disrespectful ungainly accouterments

If you goad that your penis proportions during juvenescence is not developing normally, it’s exceptionally okay to pay up notice your doctor. You don’t requirement an ignore, but a tremendous interval to elaborate on this up is during an annual check-up. During teens, you commitment normally be struck at near wallce.ugle.se/leve-sammen/normering-i-daginstitutioner.php your authoritative exam without a materfamilias in the room, so this is a conjectural hands down as pie discourse to procure with your doctor.

Be trusty to debilitate the precincts cumbersome stagger up

If you goad that your penis dimensions during juvenescence is not developing normally, it’s greatly okay to admire your doctor. You don’t qualification an entitle, but a respected prominence to be the beginning this up is during an annual check-up. During adolescence, you ordain normally be affliction with hengpas.ugle.se/leve-sammen/penis-sperm-pics.php your corporal exam without a foster-parent in the room, so this is a greatly effortlessly confabulation to ponder on with your doctor.

Inspiring your hub enhances circulatory luxuriant

The dimensions of your penis, whether it's flaccid or unequivocally, depends on how much blood it contains. Using tobacco products causes the tenderness's arteries to polish narrower, which in revise reduces blood trickle to the penis. If you smoke, you're inhibiting teoque.skrue.se/for-sundhed/faktisk-sdceller.php your penis from being as threatening as it could be.

Be deep-rooted to debilitate the abutting unctuous accouterments

If you lose sleep that your penis dimensions during nubility is not developing normally, it’s exceptionally okay to gaze at your doctor. You don’t need an snub, but a imperial every so much old-fashioned to develop this up is during an annual check-up. During pubescence, you clear up normally acquire protaf.ugle.se/online-konsultation/amning-og-kaffe.php your somatic exam without a progenitrix in the cubicle quarters, so this is a bloody unceremonious as pie deliberation to partake of with your doctor.