Question

Line segment ON is perpendicular to line segment ML. What is the length of segment NP?

Answer 1

Answer:

2 units.

Step-by-step explanation:

In this question we use the Pythagorean theorem which is shown below:

Given that

The right triangle OMP

The hypotenuse i.e OM is the circle radius =5 units.

The segment MP = 4 units length

Therefore

$OP^2 + MP^2 = OM^2$

$OP^2 + 4^2 = 5^2$

$OP^2 + 16 = 25$

So OP is 3

Now as we can see that ON is also circle radius so it would be 5 units

And,

ON = OP + PN

So,

PN is

= ON - OP

= 5 units - 3 units

= 2 units