# Problem of the Week Problem C A Bigger Triangle

Naveen drew a right-angled triangle, $$\triangle ABC$$, with an area of $$14~\text{cm}^2$$. His brother Anand drew a bigger right-angled triangle, $$\triangle DEF$$, with side lengths four times the lengths of the sides in $$\triangle ABC$$. In particular, $$DE=4\times AB$$, $$EF=4\times BC$$, and $$DF=4\times AC$$.

Calculate the area of $$\triangle DEF$$.

Theme: Geometry & Measurement