what is the perimeter, in feet (ft), of a right triangle which has an area of 12 ft^2 and one leg that has a length of 4 ft?

Step-by-step explanation:

A = 12 ft²     - area of triangle

a = 4 ft, b    - legs of right triangle

c       - hypotenuse (third side of triangle)

A = ¹/₂ ab

12 =  ¹/₂•4•b

12 = 2b

b = 6 ft

from Pythagorean theorem:

a² + b² = c²

4² + 6² = c²

c² = 16 + 36

c = √52 = 2√13 ft

The perimeter:  P = a + b + c

P = 4 + 6 + 2√13 = (10 + 2√13) ft ≈ 10 + 7.21 = 17.21 ft

good luck!

cutie~

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.