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
Answer:
f(5) = 2
Step-by-step explanation:
<u>Given: </u>
- Function f(x) =

<u>For x=5 :</u>
- f(5) =
=
= 2
The sides of a triangle must satisfy the triangle inequality, which states the sum of the lengths of any two sides is strictly greater than the length of the remaining side.
We really only have to check if the sum of the two smaller sides exceeds the largest side.
A. 5+6>7, ok
B. 6+6>10, ok
C. 7+7=14 Not ok, this is a degenerate triangle not a real triangle
D. 4+6>8 ok
Answer: C