What is the value of x in the figure below? http://imgur.com/GFFpAuo Answers: A. 16/5, B. Square Root 160, C. 16, D Square Root 5, E. 8, F. 25/4

Question

alekos · Answer

have you attempted this one?

anonymous · Answer

i don't understand how to set it up i know it uses Pythagorean theorem, but i'm just not sure of how it works with a problem like this.

alekos · Answer

its quite tricky because it requires multiple uses of pythagoras plus some algebra

anonymous · Answer

Could you explain using the problem? or an example of the problem maybe?

alekos · Answer

firstly some nomenclature...

lets call AC = a, AD = b and CD = c

happy with that?

anonymous · Answer

but what do i do with the 16 across the bottom?

alekos · Answer

we start like this..........

a^2 + 10^2 = 16^2 
so   a^2 = 156

happy with that?