Question 226386
Area equals bh/2


If you double each dimension, you would probably get an area 4 times as large.


Try 6-8-10


base and height will be 3 and 4 in the original triangle to get an area of 12/2 = 6.


base and height will be 6 and 8 in the new triangle to get an area of 48/2 = 24


24/6 = 4 meaning the new triangle area is 4 times as large as the original triangle area.


Your answer should be C.


Your new triangle should also be proportionate to the original triangle.


6-8-10 is exactly double 3-4-5 in the same proportions.


Answer B would give you the same area, but the proportions would be off.


3-4-5 and 4-12-13 do not have the same porportions for all of the dimensions.

4/3 not equal to 2
12/4 not equal to 2
13/5 not equal to 2


Answer C keeps the proportions the same


6/3 = 2
8/4 = 2
10/5 = 2


Keeping the sides in porportions means the angles will stay the same meaning you have the same triangle only larger.  The triangle would be similar.