In δавс, m∠acb = 90°, cd ⊥ ab m∠acd = 30°, and ac = 6 cm. find bd

Given is a Right triangle ΔACB with angle ∠ACB = 90 degrees.

Given that CD⊥AB, it means we have two Right triangles ΔCDA and ΔCDB.

Given angle ∠ACD = 30 degrees, it means ∠A = 60° and ∠B = 30°

Given side AC = 6 centimeters.

It says to find BD = ?

In Right triangle ΔCDA; CD is adjacent, AC is hypotenuse, ∠ACD = 30°

In Right triangle ΔCDB; CD is opposite, BD is adjacent, ∠B = 30°

Hence, final answer is BD = 9 centimeters.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

fwms@lil_ben06

step-by-step explanation: