Answer:
AC = 38
Step-by-step explanation:
using the formula:
(Pythagoras Theorem)
a^2 + b^2 = c^2
but since we don't know a^2, we are going to use the equation,
c^2 - b^2 = a^2 to find what a^2 is because a^2 is part of AC.
(i am not using the variables in the picture, only the numbers)
C = 33
B = 22
A = ??
so
c^2 - b^2 = a^2
turns into
33^2 - 22^2 = a^2
simplify
1089 - 484 = 605
605 = a^2
so now in order to get a without the ^2 we just square root it
√605 = 24.59 ≈ 25
so since 25 is the other part of line AC, we just add it to 13.
25 + 13 = 38
So the answer is AC = 38!
