Answer:
41
Step-by-step explanation
because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.
the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. 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=[tex]c^{2}[/tex]
then you add the two numbers and you get 1681=[tex]c^{2}[/tex]
u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]
simplify that, and you get c=41
hopefully that helped ! :)