Question

If the triangles given in the adjoining figure are congruent to each other, find the value of $x$.

• A. $3$
• B. $4$
• C. $5$
• D. None of the above

Answer 1

The correct option is C $5$

The two triangles are given to be congruent to each other.
Hence, the two corresponding sides of the second triangle must be 4 and 3 respectively.

According to Pythagoras theorem,
$3^2+4^2=x^2$
$\Rightarrow 9+16=x^2$
$\Rightarrow 25=x^2$
Taking square root on both sides,
$\Rightarrow \sqrt{25}=\sqrt{x^2}$
$\Rightarrow 5=x$

hence, option(c.) is correct.