Answer:
The length of the hypotenuse is [tex]10\ m[/tex]
Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagoras Theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
where
c is the hypotenuse (the longest side)
a,b are the legs of the triangle
In this problem we have
[tex]a=6\ m[/tex]
[tex]b=8\ m[/tex]
substitute and solve for c
[tex]c^{2}=6^{2}+8^{2}[/tex]
[tex]c^{2}=100[/tex]
[tex]c=10\ m[/tex]
