Answer: Choice A
[tex]\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2[/tex]
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Explanation:
The pythagorean theorem is [tex]a^2+b^2 = c^2[/tex]
The value of c is always the longest side, aka hypotenuse.
The order of 'a' and b doesn't matter.
So a = 14, b = 48, c = 50
We have [tex]a^2+b^2 = 14^2+48^2 = 196+2304 = 2500[/tex]
We also have [tex]c^2 = 50^2 = 2500[/tex]
Both sides result in 2500 which proves that [tex]14^2+48^2 = 50^2[/tex] is a true statement. Therefore, we do have a right triangle.
