The length of the base is x equals 12.12 cm.
We have to determine
The value of the length x.
What is Pythagoras theorem?
A theorem attributed to Pythagoras is that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
[tex]\rm Hypotenuse^2= Base^2+Perpendicular^2[/tex]
The length of the perpendicular is 7 cm and the hypotenuse is 14 cm.
Therefore,
The length of the base is;
[tex]\rm Hypotenuse^2= Base^2+Perpendicular^2\\\\14^2=Base^2+7^2\\\\Base^2= 14^2-7^2\\\\Base^2=196-49\\\\Base ^2=147\\\\Base = \sqrt{147} \\\\Base = 12.12[/tex]
Hence, the length of the base is x equals 12.12 cm.
To know more about Pythagoras theorem click the link given below.
https://brainly.com/question/343682
