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

₹0.0

Question: 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?

Options:

Correct Answer: 10 cm

Solution:

Let the length of each equal side be x. The perimeter is given by 2x + 8 = 24. Solving for x gives 2x = 16, so x = 8 cm.

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.