Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (anonymous):

Find the area of the triangle with B= 67°, a=11 yd, and c = 24 yd.

OpenStudy (anonymous):

OpenStudy (jack1):

right angle triangle...?

OpenStudy (anonymous):

thts not what it shows, as far as i know lol

OpenStudy (jack1):

then law of cosines...? c^2 = a^2 + b^2 -2ab cos y

OpenStudy (jack1):

in this case a = 11 b = 24 y = 67 degrees

OpenStudy (jack1):

k if you've never been taught rule of cosines, then you shouldnt be expected to know it

OpenStudy (jack1):

so lets assume its a right angled triangle use the lenght of AC as the verticle height and the length of CB as the base

OpenStudy (jack1):

so Area of triangle = 1/2 x base x vertical height

OpenStudy (jack1):

use pythag theorum to work out length AC \[h^2 = a^2 + b^2 \]

OpenStudy (jack1):

u ok with all of that ash?

OpenStudy (anonymous):

um..yes?

OpenStudy (jack1):

cool, cya then

OpenStudy (anonymous):

O.O ok

OpenStudy (jack1):

ok... well, what did u get for the length AC?

OpenStudy (jack1):

h^2 = a^2 + b^2 24^2 = 11^2 + AC^2 ... so 576 = 121 + AC^2 AC^2 = 455 so AC = sqrt 455 = approx 21.3 ish

OpenStudy (jack1):

|dw:1372168080239:dw|

OpenStudy (jack1):

u doin ok there ash? need me to elaborate on anything so far?

OpenStudy (anonymous):

i jus need to find the area lool

OpenStudy (jack1):

so Area of triangle = 1/2 x base x vertical height = 0.5 x 11 x 21.3 = ...?

OpenStudy (jack1):

=...? @ashleighgirl

OpenStudy (anonymous):

117.15

OpenStudy (jack1):

spot on!

OpenStudy (jack1):

slaters ;D

OpenStudy (anonymous):

^~^

OpenStudy (anonymous):

none of those were my answers.. a) 121.5 yd² b) 243 yd² c) 51.8 yd²d d) 103.2 yd²

OpenStudy (jack1):

area = ab sinC/2 then

OpenStudy (jack1):

= 121.51 yd^2

OpenStudy (jack1):

note to self, it wasnt a right angled triangle then ;(

OpenStudy (anonymous):

awe... </3

OpenStudy (jack1):

awwww, im sorry

OpenStudy (anonymous):

tiz okay

OpenStudy (jack1):

k then love u bye!

OpenStudy (anonymous):

^~^

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!