ABC is a triangle which is right angled at A and a perpendicular AD is drawn on the hypotenuse BC. If BC = 8 and AD = 3, then what is the value of AB × AC?

Area of $riangle mathrm{ABC}=frac{1}{2} imes mathrm{AB} imes mathrm{AC}$

$=frac{1}{2} mathrm{BC} imes mathrm{AD}$

$Rightarrow mathrm{AB} imes mathrm{AC}=mathrm{BC} imes mathrm{AD}$

$=8 imes 3=24$