Answer:
D. 30, 40, 50
Step-by-step explanation:
For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
where a and b are the two sides, c is the hypotenuse of the right triangle.
Notice that c is always going to be greater than a or b; this means that the largest number in our choices is the hypotenuse.
Let us check each of the choice to see if they satisfy the Pythagorean theorem:
Choice A. 4,5,6
[tex]4^2+5^2\neq 6^2[/tex]
this doesn't work.
Choice B. 2,3,4
[tex]2^2+3^2\neq 4^2[/tex]
this doesn't work either.
Choice C. 10, 20, 30
[tex]10^2+20^2\neq 30^2[/tex]
nope
Choice D. 30, 40, 50.
[tex]30^2+40^2=50^2[/tex]
it works!
So our answer is Choice D. 30, 40, 50.
