Question

How do I solve for x?

Answer 1

well, the middle line bisects the bottom side of the larger triangle, which by bisector rule means it's cut in half
we see the equilateral triangle is 24 units long per side, so the cut-in-half side will now be a right-triangle leg of 12 units long

Answer 2

okay yes I got that part

Answer 3

i.e. the highlighted part is 12

Answer 4

wait why

Answer 5

so by Pythagorean theorem,\[x^2+12^2=24^2\]\[x^2+144=576\]etc.

Answer 6

what do you mean? where are you confused

Answer 7

what is 12 used for?

Answer 8

ohhh nvm I get it

Answer 9

so do I find the square root of 432?

Answer 10

sorry I was afk, basically the line in the middle "bisects" (which technically means to cut in half) the bottom side of the triangle and splits it into 2 equal lengths

Answer 11

I got 20.8 rounded and okay

Answer 12

correct btw, square root of 432