The triangle $PQR$ has vertices $P\left( -5,11 \right)$, $Q\left( -7,5 \right)$ and \(R\left(

Question

The triangle $PQR$ has vertices $P\left( -5,11 \right)$, $Q\left( -7,5 \right)$ and $R\left( 10,6 \right)$. Determine whether triangle $PQR$ is a right-angled triangle. Find the area of triangle $PQR$. Hence, find the shortest distance from $P$ to $QR$.

Accepted Answer

(i) Yes, right-angled triangle (ii) $50$ units$^2$ (iii) $5.87$ units

Using the Length to show that a Triangle is Right-angled

Using the Length to show that a Triangle is Right-angled

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