Given:
A right angle triangle with legs
cm and
cm. The length of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
![Hypotenuse^2=Base^2+Perpendicular^2](/tpl/images/1378/5421/381f9.png)
Using the Pythagoras theorem, we get
![x^2=(\sqrt{7})^2+(\sqrt{6})^2](/tpl/images/1378/5421/de211.png)
![x^2=7+6](/tpl/images/1378/5421/4e49b.png)
![x^2=13](/tpl/images/1378/5421/767df.png)
Taking square root on both sides, we get
[Because side length is always positive]
The measure of hypotenuse is
cm.
Therefore, the correct option is B.