Answer:
m=6.7
Step-by-step explanation:
It turns out from similar triangles, that 3/BD = BD / 12. Use triangles ABD and BDC to show this relationship. Solving this equation will give you BD
BD² = 3*12
BD² = 36 Just leave it in this form. Do your rounding at the end.
Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m
m² = BD^2 + 3^2
m² = 36 + 9
m² = 45
Take the square root of both sides.
√m² =√45
m=6.7082039325
m=6.7
Thus the correct option is A....
