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