In a right-angled trangle PQR, `angleQ=90^(@), angleR=45^(@)`. If `PR=3sqrt(2)`, then find the lengths of two sides PQ and QR.

Explanation

In the right-angled triangle PQR, `angleQ=1` right-angle and `angleR=45^(@)`
`therefore sin45^(@)=(PQ)/(PR)` [ by definition]
`or (1)/(sqrt(2))=(PQ)/(3sqrt(2)) or, PQ=3`
Again, `cos45^(@) =(QR)/(PR)` [by definition]
`or, (1)/(sqrt(2))=(QR)/(3sqrt(2))or, QR=3`
Hence the lengths of both PQ and QR is 3m.