Answer:
24
Step-by-step explanation:
So to start we need to find the length of the sides. luckily, since this is a right triangle we can subtract the x values on line AB to get 8 and we can subtract the y values on line AC to get 6. Now that we know two lengths we can use [tex]A^{2} +B^{2} =C^{2}[/tex] to find the last length.
When we plug in the two known lengths we get [tex]8^{2} +6^{2} =c^{2}[/tex] which can be simplified to [tex]64+36=c^{2}[/tex] and then simplified again to be [tex]100=c^{2}[/tex]. We can then take the square root of 100 to know that c=10.
Finally, we can add [tex]10+8+6[/tex] to get 24.