The sides of an isosceles triangle are 27 , 27 , and 24yd long. What is the area of the triangle? Do not round any intermediate computations, and round your answer to the nearest tenth.
how does this one go?
324
nvrmnd
Haichi its wrong!
yea idk lol sorry
well you can find the perpendicular... which bisects the base |dw:1412973928708:dw| find the value of h, uby using pythagoras' theorem. then you can find the area
Thank you campbell_st but I still dont get it by the whole bisects thingy!
yea thats confusing lol
Ikr
Do the pic I think I can help
well in an isosceles triangle... the perpendicular from the base... bisects the angle at the top and the base as well... so you end up with a right triangle |dw:1412974314548:dw| and you need the perpendicular height to find the area.
So how do I find the perpendicular height?
just kidding nevermind haha
use pythagoras' theorem \[27^2 = 12^2 + h^2\] which becomes \[h^2 = 27^2 - 12^2\]
Thank you so much! I seriously love you !
think about this.... you can fold an isosceles triangle exactly in half... and you get 2 identical triangles... the fold line is the perpendicular height... and both triangles are right angled.
I am so sorry but Im really confused now!
fr
using pythagoras you get \[h^2 = 585\] or \[h = 21.2~ yds\] then the area is \[A = \frac{1}{2} \times 24 \times 21.2 \] hope it helps
Yes exactly I needed a pic what pic did you use?
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