Hello from MrBillDoesMath!
Answer: No
Discussion:
As I understand the problem statement, we have a right angle traingle with a leg of 10 meters as well as the hypotenuse of 10m. Suppose such a right triangle exists and has legs a,b, c (hypotenuse). By Pythagoras
a^2 + b^2 = c^2 =>
10^2 + b^2 = 10^2 =>
b^2 = 0
That is, the third side of the triangle would have length 0 -- and you don't have a triangle them.
Thank you,
MrB