Question

Calculati aria triunghiului ABC pentru: AB=5 , AC=8 , BC=7 .

Answer 1

Fie $p= \frac{AB+AC+BC}{2}= \frac{5+8+7}{2}=10.$

Utilizam formula lui Heron:

$A_{ABC}= \sqrt{p(p-AB)(p-BC)(p-AC)} = \sqrt{10*5*2*3} = \sqrt{100*3}= \\ \\ =10 \sqrt{3} .$