Question

Eu tenho um triângulo com a expressao 2x-6+3x-4+x8 porem o perimetro tem que dar 28cm?

Answer 1

$2x-6+3x-4+x+8=28$

$2x+3x+x-6-4+8=28$

$6x-2=28$

$6x=28+2$

$6x=30$

$x=\dfrac{30}{6}$

$x=5$

Assim:

$2x-6=2\cdot5-6~\longrightarrow~2x-6=10-6~\longrightarrow~\boxed{2x-6=4}$

$3x-4=3\cdot5-4~\longrightarrow~3x-4=15-4~\longrightarrow~\boxed{3x-4=11}$

$x+8=5+8~\longrightarrow~\boxed{x+8=13}$

Os lados medem $4~\text{cm},11~\text{cm}$ e $13~\text{cm}$.