The length of line BC is 16. 12
How to determine the value
We have that;
- Line BD = 12
- Line AD = 5
- Line BC = unknown
Let's line BA, using Pythagorean theorem
BA =
[tex] \sqrt{ {12}^{2} + {5}^{2} } [/tex]
BA =
[tex] \sqrt{144 + 25} [/tex]
BA =
[tex] \sqrt{169} [/tex]
BA = 13
Now, let's find BC
cos 30 = line BA/ line BC
0. 8660 = 14/ BC
cross multiply
BC = 14/0.8660
BC = 16. 12
Thus, the length of line BC is 16. 12
Learn more about Pythagorean theorem here:
https://brainly.com/question/654982
#SPJ1
