An isoscele triangle has sides of lengths x cm, x x cm and 9cm. It's perimeter is less than 24cm and x is a whole number.

Question

a)calculate the value of x
b)find the highest value of x

Answer 1

a) The perimeter of the isosceles triangle is less than 24cm, so we can set up the following inequality:

2x + 9 < 24

Subtracting 9 from both sides gives:

2x < 15

Dividing both sides by 2 gives:

x < 7.5

Since x is a whole number, the maximum value of x that satisfies this inequality is 7.

b) The highest value of x is 7.