Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

In this case, we can use the concept of similar triangles to find the value of r.

First, we know that the total length of line k is 14 cm, and n is at the middle of line k. Therefore, the distance from n to the end of line k is 14 cm / 2 = 7 cm.

Since r is 3 cm above line k, the distance from n to line r is 7 cm - 3 cm = 4 cm.

Now, we have two similar right triangles - triangle lnr and triangle lnk. The ratio of the sides of these triangles is the same, so we can set up a proportion to find the value of r.

4 cm / ? = 7 cm / 14 cm

Cross multiplying, we get:

4 cm * 14 cm = 7 cm * r
56 cm = 7 cm * r
r = 56 cm / 7 cm
r = 8 cm

Therefore, the value of r on line lnm is 8 cm.