Question

Na figura , os triângulos ABC e ABD são congruentes . Calcule X e y :

Answer 1

X = 3 e Y = 6

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• Triângulos congruentes.

“A medida de seus lados e ângulos correspondentes são iguais”

• Assim, temos que:

O lado $\sf\overline{AC}\equiv\sf\overline{AD}$ então:

$\sf\begin{cases}\sf\overline{AC} = 3x+1\\\\\sf\overline{BD} = 10\end{cases}$

$\sf3x+1=10\\\\\sf3x=10−1\\\\\sf3x=9\\\\\sf~x=\frac{9}{3}\\\\\boxed{\sf~x=3}~\checkmark$

Assim como $\sf\overline{CB}\equiv\sf\overline{BD},$ logo:

$\sf\begin{cases}\overline{CB} = y\\\\\sf\overline{BD} = 6\end{cases}\\\\\sf\boxed{y=6}~\checkmark$

✨ $\Large\mathscr{\blue{Per:~Dan}}$ ✨