If the perimeter of an isosceles triangle is 24 cm and the length of the base is

If the perimeter of an isosceles triangle is 24 cm and the length of the base is 8 cm, what is the length of each of the equal sides?

If the perimeter of an isosceles triangle is 24 cm and the length of the base is 8 cm, what is the length of each of the equal sides?

Step 1: Understand that an isosceles triangle has two equal sides and one base.
Step 2: Identify the given information: the perimeter of the triangle is 24 cm and the base is 8 cm.
Step 3: Let the length of each of the equal sides be represented by 'x'.
Step 4: Write the formula for the perimeter of the triangle: Perimeter = length of equal sides + length of base.
Step 5: Substitute the known values into the perimeter formula: 2x + 8 = 24.
Step 6: Solve the equation for 'x': First, subtract 8 from both sides to get 2x = 16.
Step 7: Divide both sides by 2 to find the value of 'x': x = 8 cm.
Step 8: Conclude that the length of each of the equal sides is 8 cm.

Perimeter of a Triangle – Understanding how to calculate the perimeter of a triangle by adding the lengths of all its sides.
Isosceles Triangle Properties – Recognizing that an isosceles triangle has two equal sides and how to set up equations based on this property.
Algebraic Manipulation – Solving linear equations to find unknown variables.