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Katena32 [7]
3 years ago
11

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

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

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

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