If one leg of a triangle is 4 feet and the other leg is 12 feet, what is the hypotenuse?
1 Answer
Jan 2, 2016
Explanation:
The Pythagorean Theorem states that
a^2+b^2=c^2a2+b2=c2
where
So, we know that
4^2+12^2=c^242+122=c2
16+144=c^216+144=c2
c^2=160c2=160
c=sqrt160c=√160
c=sqrt(16xx10)c=√16×10
c=sqrt16xxsqrt10c=√16×√10
c=4sqrt10approx12.6491c=4√10≈12.6491