So, this is a multistep problem. First, we need to convert everything to inches, find the diagonal of the right triangle, and then find the perimeter.
Converting feet to inches: There are 12 inches in one foot. Since the right triangle has a leg that is 2 feet, we need to multiply that by 12. 2×12=24; So, the leg is 24 inches long.
Finding the diagonal: We use this equation to find the hypotenuse: a²+b²=c² We know the legs of the triangle, we just need to find the diagonal.
24²+18²=c² 576+324=900 √900=30; So, the length of the diagonal is 30 inches.
Finding the perimeter: We need to add up all the sides.
30+24+18=72
So, the perimeter of the triangle is 72 inches.