Answer:
c (the hypotenuse) = 10.4 units
Step-by-step explanation:
Start off by rearranging the original pythangorean theorem (a^2+b^2=c^2) by taking the square root of both sides so it is in the form of a distance formula solving for c(the hypotenuse).
c^2 will become |c| as length cannot be negative so (labeling an absolute value is negligible)
a^2+b^2 = c^2
c^2 = a^2+b^2
√(c^2) = √(a^2+b^2)
c = √(a^2+b^2)
Then substitute the given lengths, in this scenario, sides a and b.
After you substitute, just simplify.
c = √(3^2+10^2) = √(9+100) = √109 ≈ 10.4 units (nearest tenth)
