Question

For a $\Delta XYZ,ZY=12m,YX=8m$ and $XZ=10m$. If $\Delta ZYX\cong \Delta ABC$, then $AC=$ _____ $m$.

• A. $10$
• B. $12$
• C. $8$
• D. $1$

Answer 1

The correct option is A $10$

Given : $\Delta XYZ,ZY=12m,YX=8m$ and $XZ=10m$.

Also, $\Delta ZYX\cong \Delta ABC$.

We know, congruent triangles have their sides congruent.

$⟹AB=ZY,BC=YX$ and $AC=ZX$.

$⟹ZX=AC$.
$\therefore AC=10m$.

Therefore, option $A$ is correct.