Find the value of each variable. If your answer is NOT an integer, leave it in simplest radical form. Show work!!! Medal will be rewarded for patronage! :D

Question

firejay5 · Answer

|dw:1392250568234:dw|

cwrw238 · Answer

since the triangle is isosceles the 2 sides including the right angle are equal
sin45 = x / sqrt6
x = sqrt6 * sin 45

the other side is same length

firejay5 · Answer

we haven't learned sin in Geometry

cwrw238 · Answer

oh ok 
then use the Pythagoras theorem

let the other side be = x 

then (sqrt6)^2 = x^2 + x^2

2 x^2 = 6

can you continue?

firejay5 · Answer

sqrt of 3

cwrw238 · Answer

yep

firejay5 · Answer

x = sqrt of 3

cwrw238 · Answer

yes,  the 2 sides including the right angle are both = sqrt3

jdoe0001 · Answer

*cough* http://grockit.com/blog/collegeprep/files/2011/04/35.png *cough*

cwrw238 · Answer

yes - its worth remember the 2 triangles in the above link

cwrw238 · Answer

OK? do you need any more explanation?

firejay5 · Answer

Nope so problems like this, I can use Pythagorean Theorem

cwrw238 · Answer

yes - but you can also solve  them quickly by committing to memory the 2 triangles that jdoe has mentioned in  in his post

cwrw238 · Answer

though I'm fascinated by his 'cough' - lol.