Respuesta :

First you need to do the pythagorean theorem to find the area of the triangle. The equation is a^2+b^2=c^2. This only works on right triangles so imagine it is cut in half so we get

2^2+b^2=4^2

4+b^2=16

b^2=12

b=√12

To find the area of the entire triangle, you do .5(b*h). the base is 4 and the height is √12 so just plug those in to the equation

.5(4*√12)

This gives us 6.93.

Now we just multiply it by the length (8) to get the volume. 6.93*8=55.43 so there's your answer.