Question

triangulo retangul (G1 1996 ) O valor de a e c no trangulo ABC é:

30 graus , cateto oposto 18 , cateto adjacente c , hipotenusa a

Answer 1

$\sin30^{\circ}=\dfrac{18}{a}\Longrightarrow\dfrac{1}{2}=\dfrac{18}{a}\Longrightarrow\boxed{a=36}\\\\\\ \tan30^{\circ}=\dfrac{18}{c}\Longrightarrow\dfrac{\sqrt{3}}{3}=\dfrac{18}{c}\Longrightarrow c=\dfrac{18\cdot3}{\sqrt{3}}=\dfrac{18\cdot3}{\sqrt{3}}\times\dfrac{\sqrt{3}}{\sqrt{3}}\Longrightarrow\boxed{c=18\sqrt{3}}$

Answer 2

Valor a=
seno de 30= 18/x
1/2=18/x
x=36  Hipotenusa igual a 36.

Cosseno de 30=x/36
$\sqrt{3}/2$=x=36
2x=36$\sqrt{3}$
x=36$\sqrt{3}$/2
x=18$\sqrt{3}$

Valor da hipotenusa é 36 e do cat. adjacente é 18$\sqrt{3}$