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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 \(DF=4\times AC\).

Triangle ABC has base BC and height AB and a
right angle at B. Triangle DEF has base EF and height DE and a right
angle at E.

Calculate the area of \(\triangle DEF\).

Theme: Geometry & Measurement