After working for ten hours straight in order to meet a deadline, Samuel, the team leader, noticed that all his members were mentally and physically saturated. Therefore, he asked them to temporarily leave their work and join him for some snacks in the break room. After a thirty-minute hiatus, in which the team members let off some steam and engaged in a bit of tomfoolery, they came back to their stations with their energy replenished and attacked the pending work with renewed vigor. As a result, the team completed their work on the same day and met their deadlines. Which process-leadership behavior did Samuel display

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; standing committee;