Question

Calculati aria triunghiului ABC daca :
a) AB=AC=BC= cu 8 radical din 3 cm
b) AB= 4 radical din 2cm , AC= 6 radical din 2 cm , m(A)=90 de grade
c) AC= 12 radical din 6 cm , AB=BC, m(B) =90 de grade
d) AB = 6,4 cm , AC = 15 cm , m(A)=150 grade
Va rog Ajutati-ma!

Answer 1

$a)A= \frac{a^2 \sqrt{3} }{4}= \frac{(8 \sqrt{3})^2 \sqrt{3} }{4}=48 \sqrt{3} cm^2 \\ b)12^2=x^2+x^2;144=2 x^{2} ; x^{2} =72;x=6 \sqrt{2};A= x^{2} =72cm^2 \\ c)A= \frac{1}{2} AB*AC*sinA= \frac{1}{2}*6,4*15*sin150= 48* \frac{ \sqrt{3} }{2}=24 \sqrt{3}cm^2$