Ben and Carla Covington plan to buy a condominium. They will obtain a $226,000, 30-year mortgage at 8.0 percent. Their annual property taxes are expected to be $2,100. Property insurance is $540 a year, and the condo association fee is $250 a month. Based on these items, determine the total monthly housing payment for the Covingtons. Use Exhibit 7-7. (Round your intermediate calculations and final answer to 2 decimal places.)

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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