Question

In a right triangle $ABC,\angle B={90}^{\circ }$.

If $AB=6cm,BC=8cm$, find $AC$ in cm

Answer 1

$△$ ABC is a right angled triangle.
By Pythagoras theorem,
$A{C}^2=B{C}^2+A{B}^2$
$=>A{C}^2=6^2+8^2$
$=>A{C}^2=36+64$
$=>A{C}^2=100$
$=>AC=\sqrt{100}$
$=>AC=10cm.$