Answer:
- perimeter = 24√6 cm
- area = 96√3 cm²
Explanation:
The edge length (s) of an equilateral triangle is (2/3)√3 times the height. This means the edge length of your triangle is ...
... s = (2/3)√3 × 12√2 = 8√6
The perimeter is 3 times the side length:
... p = 3s = 3×8√6 = 24√6 . . . cm
The area is half the product of edge length and height:
... a = (1/2)sh = (1/2)(8√6)(12√2) = 48√12 = 96√3 . . . cm²