Which set of side lengths can be used to form a right triangle

a.4,5,6
b.2,3,4
c.10,20,30
d.30,40,50

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:

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  

this doesn't work.

Choice B. 2,3,4

this doesn't work either.

Choice C. 10, 20, 30

nope

Choice D. 30, 40, 50.

it works!

So our answer is Choice D. 30, 40, 50.

there is no grid

step-by-step explanation: