Answer:
x=8+4sqrt3=4*(2+sqrt3)
Explanation:
bz theorem the height of a right triangle is 1/4 of its hypotеnus and we get the hypo by using the pythagorean theorem so the hypo is equal to sqrt(x^2+16). the small triangle formed by the height with side x is similar to the initial triangle so we get the following proportion:x/sqrt(x^2+16)=sqrt(x^2+16)/4/4. by siplifying it we get the quadric equation x^2-16x+16=0 and its roots are +/-8+4sqrt3, but x is a side so it is bigger than zero so it is the positive value