Answer:
8 m
Step-by-step explanation:
Applying,
A = bh/2................ Equation 1
Where A = Area of the triangle, b = base of the triangle, h = height of the triangle.
Since the triangle is an isosceles triangle.
Then, b = h
Assuming, b = y m
Given: A = 16 m²
Substitute these values into equation 1
16 = (y×y)/2
16 = y²/2
y² = 16×2
y² = 32
y = √32
y = 4√2 m
Therefore,
b = 4√2 m and h = 4√2 m
Applying pythagoras theorem, to get the length of the fence enclosing the paddock
a² = b²+c²
a² = (4√2)²+(4√2)²
a² = 32+32
a² = 64
a = √64
a = 8 m
Hence the length of the fence enclosing the paddock is 8 m
