Question

Determinati lungimile catetelor AB si AC ale triunghiului dreptunghic ABC stiind ca sinB=$\frac{3}{5}$ si BC=15 .Dau coroana :D

Answer 1

sin B=$\frac{AC}{BC}$
$\frac{3}{5}$=$\frac{AC}{15}$
5AC= 45
AC= 9
BC²=AC²+AB²
15²=9²+AB²
225=81+AB²
AB²=225-81
AB²=144
AB=√144
AB=12