Question

Line segment ON is perpendicular to line segment ML.

What is the length of segment NP?
A.
1 unit
B.
4 units
3 units
c
D.
2 units
​

Answer 1

D) 2 units

Explanation:

correct on edge 2020

Answer 2

The length of NP is 2 units.

Explanation:

Given the radius of 5 units and the length of MP is 4 units in the circle

we have to find the length of NP

OL=OM=5 units ( ∵ Radii of same circle)

In ΔOMP, by Pythagoras theorem

`OM^2=MP^2+OP^2`

`5^2=4^2+OP^2`

`OP^2=25-16=9`

`OP=3 units`

As we see

`ON=OP+NP`

`5=3+NP`

`NP=5-3=2\thinspace units`

Hence, the length of NP is 2 units.

Option D is correct.