Answer:
41
Explanation
because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.
the pythogorean theroem is
+
=
. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.
so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.
then when you simplify that you end up with 81+1600=
![c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/o3ay9zmp6x77qub2fswpttcs1llic9nycf.png)
then you add the two numbers and you get 1681=
![c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/o3ay9zmp6x77qub2fswpttcs1llic9nycf.png)
u have to get the variable by itself so you find the sqaure root of each side which would look like
=
![√(c)](https://img.qammunity.org/2022/formulas/mathematics/college/c0ym7inkzkhy9g7u7tzuixv4phbwsjfb90.png)
simplify that, and you get c=41
hopefully that helped ! :)