Question

The perimeter of an isosceles triangle is 68cm. How many of such triangles can be formed if the lengths of the sides are integers?

Answer 1

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Answer 2

Given: The perimeter of an isosceles triangle is 68cm.

To find: The number of such triangles that can be formed if the lengths of the sides are integers.

Solution:

Since isosceles triangles must be formed from the given perimeter, the length of the base could be 2 cm and the length of the other two sides could be 1 cm. In this manner, the maximum number of isosceles triangles could be formed.

Now, these triangles would have a perimeter of 4 cm. So, the number of triangles that can be formed from 68 cm can be calculated as follows.

$\frac{68}{4} = 17$

Therefore, the number of such triangles that can be formed if the lengths of the sides are integer is 17.