I really need a formula on how this is calculated. A 10-ft-long stem of bamboo is broken in such a way that its tip touches the ground 3ft. from the base of the stem. What is the height of the break. The answer is 4.55ft, but how is this calculated using the pythagorean theorem (a^2 +b^2 = c^2) given only 1 variable (a) and the sum of b and c? Please help and give detailed response. Thank You!