In triangle ABC, angle B = 90 degrees. Point X is on line AC such that angle BXA = 90 degrees, AX = 15, and AB = 25. What is BX?
Using Pythagoras theorem in △ABX gives AX2+BX2=AB2, substituting AX = 15 and AB = 25 gives
152+BX2=252BX2=400BX=20