Answer:
B. [tex]6\sqrt2[/tex]
Step-by-step explanation:
Given:
The given triangle is an isosceles right angled triangle with the legs equal to 6 cm each and the hypotenuse is 'x' cm.
Applying Pythagoras theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore,
[tex]x^2=6^2+6^2\\x^2=36+36\\x^2=72\\x=\sqrt{72}\\x=\sqrt{36\times 2}\\x=\sqrt{36}\times \sqrt{2}\\x=6\sqrt2\ cm[/tex]
Therefore, the length of the hypotenuse is [tex]x=6\sqrt2[/tex] cm.
Hence, the option B is the correct one.
