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UkoKoshka [18]
3 years ago
13

Help me please. Find the values of x and y that make these triangles congruent by the HL Theorum.

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
According to the HL theorem for right-triangles, one leg and the hypotenuse must be equal, what does that mean?

well it means that 3y = x + 3, and that y + 1 = x, when does that happen anyway?  let's see,

\bf \begin{cases}
3y=x+3\\
y+1=\boxed{x}
\end{cases}\implies 3y=\boxed{y+1}+3\implies 3y=y+4
\\\\\\
2y=4\implies y=\cfrac{4}{2}\implies y=2\\\\
-------------------------------\\\\
\textit{and since we know that }y+1 =x\implies (2)+1=x\implies 3=x
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