To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:
<span>2:3:4
2x:3x:4x
2x = 12
x = 6
Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.</span>
Answer:

Step-by-step explanation:
Use the Pythagorean theorem. 
a and b are the two side lengths
c is the hypotenuse (value across from the right angle)
Plug in the values that you are given.

Solve for x


x=

Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).
A.

Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.

Indeed, those two numbers are relatively prime.
<u><em>The additive identity property </em></u>. . . is being used here because no matter what the value is, whenever you add zero (0) to it, you'll always get the value your started with.
add the volume of a cone, V=1/3 pi times radius squared times h. The volume of the cone is V=355. Then you add the volume of the cone to the volume of the cylinder. the formula for the volume of a cylinder is V= pi times radius squared times h. So the volume of the cylinder will be V=923. if you add those two together the overall volume is 1,278.