Myocardial hypertrophy is a change from physiological to pathological increase in cardiac muscle cells with cell enlargement and can be caused by a variety of diseases. Strictly speaking, myocardial hypertrophy is not a disease diagnosis, but rather a change from physiology to pathology.
If cardiac hypertrophy is caused by a chronic condition such as hypertension, the offspring are more likely to develop hypertension than someone with neither parent having hypertension, which may also lead to further cardiac hypertrophy.
If the hypertrophy is caused by hypertrophic cardiomyopathy, it is highly likely that the offspring will inherit this hereditary cardiomyopathy and thereby lead to myocardial hypertrophy.