因为根据正弦定理,b/sinB = a/sinA = c/sinC = 2R,R是三角形外接圆的半径.
所以sinB = b/2R,sinA = a/2R,sinC = c/2R
所以(sinB)^2 = b^2/(2R)^2 = ac/(2R)^2 = a/2R * c/2R = sinA * sinC
因为根据正弦定理,b/sinB = a/sinA = c/sinC = 2R,R是三角形外接圆的半径.
所以sinB = b/2R,sinA = a/2R,sinC = c/2R
所以(sinB)^2 = b^2/(2R)^2 = ac/(2R)^2 = a/2R * c/2R = sinA * sinC