On october 1, 2014, donald anderson exchanged an apartment building having an adjusted basis of $375,000 and subject to a mortgage of $100,000 for $25,000 cash and another apartment building with a fair market value of $550,000 and subject to a mortgage of $125,000. the property transfers were made subject to the outstanding mortgages. what amount of gain should anderson recognize in his tax return for 2014?
a. $0
b. $25,000
c. $125,000
d. $175,000

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.

answer; /// the above statement is (true); good luck