Debt 6.0 % 25 % Preferred stock 12.0 15 Common equity 16.0 60 Plan B Debt 6.6 % 35 % Preferred stock 12.6 15 Common equity 17.0 50 Plan C Debt 7.0 % 45 % Preferred stock 19.7 15 Common equity 15.5 40 Plan D Debt 17.0 % 55 % Preferred stock 20.4 15 Common equity 17.6 30

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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