Question

Triangle XYZ is right -angled at Z. Calculate the length of YZ, if :

$PQ=53mmandQR=28mm$

Answer 1

PQR is right angled at R.
$P{Q}^2=P{R}^2+Q{R}^2$ (Pythagoras Theorem)
${53}^2=P{R}^2+{28}^2$
$2809=P{R}^2+784$
$2025=P{R}^2$
$PR=45mm$