Question

Calculeaza raza cercului inscris in triunghiul isoscel ABC,stiind ca AB=AC=10 cm si BC=12 cm.

Answer 1

[tex]r= \frac{S}{P} \\ S=aria,P=perimetru \\ S=BC*h \\ h^{2} = AB^{2} -( \frac{BC}{2})^{2}=100-36=64 \\ h=8,S=8*12=96 \\ P=10+10+12=32 \\ r= \frac{96}{32} =3[/tex]