Question

Uncle Frank has a paddock on his farm. The paddock is a right angled isosceles triangle and has area 16m2. What is the length of fence enclosing the paddock

Answer 1

8 m

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