Question

triunghiul ABC
$\frac{AB}{AC}$ = $\frac{8}{15}$
PERIMETRUL TRIUNGHIULUI = 240 cm
a) catetele , ipotenuza =?
b) h corespunzatoare ipotenuzei=?

Answer 1

AB=8k
AC=15k
BC=√[(8k)²+(15k)²]=√(64k²+225k²)=√289k²=17k
P=8k+15k+17k=40k
240=40k
k=240/40=6
AB=8k=8x6=48
AC=15k=15x6=90
BC=17k=17x6=102
A=ABxAC/2=48x90/2=2160
A=BCxh/2
2160=102xh/2
h=2160x2/102≈42,35