In triangle ABC, CF is perpendicular to AB and be is perpendicular to AC and E. m is the midpoint of BC, BF = 5 and BC = 8. Can you determine the perimeter of triangle EFM?

In triangle ABC, CF is perpendicular to AB and be is perpendicular to AC and E. m is the midpoint of BC, BF = 5 and BC = 8. Can you determine the perimeter of triangle EFM?

Because CF is perpendicular to AB, the angle BFC = 90 ° because be is perpendicular to AC, the angle BEC = 90 ° because m is the midpoint of BC, so FM = BM = EM = MC (the middle line of a right triangle is equal to half of the hypotenuse). Because BC = BM + cm = 8, so FM + me = 8, because EF = 5, so EFM = 13