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