Question

Triangle $ABC$ is a right triangle with sides of length $4,6$ and $x$. If $4<x<6$, what is the approximate value of $x$?

• A. $4$
• B. $4.47$
• C. $5.21$
• D. $5.63$
• E. $7.21$

Answer 1

The correct option is B $4.47$

$4<x<6$ means that hypotenuse is $6$.

In right angled triangle, using hypotenuse formula, we get

$4^2+x^2=6^2$

$\Rightarrow 16+x^2=36$

$\Rightarrow x^2=20$

$\Rightarrow x\approx 4.47$