The length of the line segment BC is 31.2 units.
<h2>Given that</h2>
Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>
What is the length of Line segment BC?
<h3>According to the question</h3>
The altitude of the triangle is given by;

Where x is DC and y is 5 units.
Then,
The length DC is.

Squaring on both sides

Considering right triangle BDC, use the Pythagorean theorem to find BC:

Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.
brainly.com/question/26252222
Haha I know this totally unhelpful but I do connections academy too. What quiz/test are you on
Volume of cone canbe calculated using the following rule:
volume of cone = (1/3) x pi x (radius)^2 x height
from the givens:
pi = 22/7
I'll assume that the 10 cm refers to the height
radius = 16/2 = 8 cm
substitute in the equation to get the volume as follows:
volume=(1/3) x (22/7) x (8x10^-2)^2 x (10x10^-2)
= 6.7 x 10^-4 m^3