Question

in triunghiul dreptunghic ABCcu masura unghiului A=90 grade ,AB=24 cm si daca tangenta de B=0,75 .Calculati aria si perimetrul triunghiului

Answer 1

tgB=$\frac{AC}{AB}$
$\frac{AC}{AB}$=0,75
$\frac{AC}{AB}$=$\frac{75}{100}$
$\frac{AC}{24}$=$\frac{75}{100}$
100AC=24*75
100AC=1800
AC=18 cm

In triunghiul ABC, m(A)=90
$BC^{2}$=$AB^{2}$+$AC^{2}$
$BC^{2}$=576+324
$BC^{2}$=900
BC=30 cm

A=$\frac{b*h}{2}$=$\frac{24*18}{12}$=216 $cm^{2}$

P=AB+BC+AC=24+18+30=72 cm