So, we have a triangle with the angles of >> 90, 45 and 45 degrees.
Lets say that two of the sides of this triangle is >>4 inches long-, the area would be equal to >>16sq Inches.
Now, If two sides is >> 8 inches long, the area of the triangle would be >> 64sq inches.
Finally, the ratio is >> 8/4=1/2.
So based off this (the work above), the answer would be false.