Question

The chords KM and LN of a ci rcle intersect each other at P. If MP=8cm, KP=6cm,LP=4cm, what is NP in cm

Answer 1

Answer: NP would be 12 cm.

Step-by-step explanation:

Given that,

MP= 8 cm, KP= 6 cm, and LP= 4 cm

Intersecting Chord Theorem: The product of parts of one chord always equals the parts of other provided both chords intersect each other inside the circle.

Mathematically,

a*b = c*d, where 'a' and 'b' are the parts of one chord and 'c' and 'd', are the parts of another chord.

So,

LP*NP = MP*KP

NP = MP*KP/LP

NP = 8*6/4

=> 12