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If the perimeter of an isosceles triangle is 24 cm and the lengths of the two eq

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Question: If the perimeter of an isosceles triangle is 24 cm and the lengths of the two equal sides are 10 cm each, what is the length of the base?

Options:

  1. 4 cm
  2. 6 cm
  3. 8 cm
  4. 10 cm

Correct Answer: 6 cm

Solution: 

The perimeter is the sum of all sides. Therefore, base = 24 - (10 + 10) = 4 cm.

If the perimeter of an isosceles triangle is 24 cm and the lengths of the two eq

Practice Questions

Q1
If the perimeter of an isosceles triangle is 24 cm and the lengths of the two equal sides are 10 cm each, what is the length of the base?
  1. 4 cm
  2. 6 cm
  3. 8 cm
  4. 10 cm

Questions & Step-by-Step Solutions

If the perimeter of an isosceles triangle is 24 cm and the lengths of the two equal sides are 10 cm each, what is the length of the base?
  • Step 1: Understand that the perimeter of a triangle is the total length around the triangle, which is the sum of all its sides.
  • Step 2: Identify the lengths of the two equal sides of the isosceles triangle. In this case, each equal side is 10 cm.
  • Step 3: Since there are two equal sides, calculate their total length: 10 cm + 10 cm = 20 cm.
  • Step 4: Now, use the perimeter to find the length of the base. The perimeter is given as 24 cm.
  • Step 5: Subtract the total length of the two equal sides from the perimeter: 24 cm - 20 cm = 4 cm.
  • Step 6: Therefore, the length of the base of the triangle is 4 cm.
  • Perimeter of a Triangle – The perimeter of a triangle is the total length of all its sides, calculated by adding the lengths of each side.
  • Isosceles Triangle Properties – An isosceles triangle has two sides of equal length, and the base is the third side that is different in length.
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