Using the Length to show that a Triangle is Right-angled
Using the Length to show that a Triangle is Right-angled
TGM Original
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 \(QR\).
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Answer:(i) Yes, right-angled triangle (ii) \(50\) units\(^2\) (iii) \(5.87\) units
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