find the value of r on line lnm n is at the middle of a 14 cm line and 3 cm above it is k and r is l to k in a strait line

Question

7.6
9.1
11.2
14.3

Answer 1

To find the value of r on line l, we can use the Pythagorean theorem.

Given that:
- m is 3 cm above the midpoint of a 14 cm line
- n is at the middle of the 14 cm line
- r is on the line that connects l to k

We can construct a right triangle with sides of 7 cm (half of the 14 cm line), 3 cm, and r (the hypotenuse).

Using the Pythagorean theorem, we can write:
(7)^2 + (3)^2 = r^2
49 + 9 = r^2
58 = r^2
r = √58

Calculating the value of r, we get:
r ≈ 7.6

Therefore, the value of r on line l is approximately 7.6 cm.

So, the correct answer is:
7.6