Question

Given that NQ ll PR, find NP

Answer 1

The parallel lines cuts the sides in equal proportion to give NP = 0.8

How can the length of NP be found?

The given diagram consists of a line parallel to one of the sides of the triangle.

According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:

NQ || PR

By triangle proportionality theorem;

$\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR }$

Which gives;

$\mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 }$

2×5 = 8 × NP

• NP = 8 ÷ 10 = 0.8

Learn more about the triangle proportionality theorem here:

brainly.com/question/8160153

#SPJ1