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Flauer [41]
2 years ago
6

Given that NQ ll PR, find NP

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

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

<h3>How can the length of NP be found?</h3>

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

  • <u>NP = 8 ÷ 10 = 0.8</u>

Learn more about the triangle proportionality theorem here:

brainly.com/question/8160153

#SPJ1

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