While conducting business with a customer from italy, zoe was careful to speak slowly and clearly, using short sentences and familiar words. however, she noticed that the customer had a glazed expression and did not understand her. zoe should: ) repeat what she has said in a louder voice. b) graciously accept the blame for not making her meaning clear. c) end the conversation until an interpreter can be found. d) require the italian businessperson to restate the message in simple words.

b) graciously accept the blame for not making her meaning clear

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.