Final answer:
To find the sides of a right-angled triangle when the area and perimeter are given, use the formulas for area and perimeter of a triangle and solve the resulting equations.
Step-by-step explanation:
To find the sides of a right-angled triangle when the area and perimeter are given, we can use the formulas:
Area of a triangle: A = 1/2 imes base imes height
Perimeter of a triangle: P = base + height + hypotenuse
Given that the area is 6cm² and the perimeter is 12cm, we can set up the following equations:
Equation 1: 6 = 1/2 imes base imes height
Equation 2: 12 = base + height + hypotenuse
Solving these equations simultaneously will give us the values of the sides of the right-angled triangle.