Given:
A right angle triangle with legs [tex]\sqrt{6}[/tex] cm and [tex]\sqrt{7}[/tex] cm. The length of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using the Pythagoras theorem, we get
[tex]x^2=(\sqrt{7})^2+(\sqrt{6})^2[/tex]
[tex]x^2=7+6[/tex]
[tex]x^2=13[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{13}[/tex] [Because side length is always positive]
The measure of hypotenuse is [tex]\sqrt{13}[/tex] cm.
Therefore, the correct option is B.
