The three sides of an isosceles triangle are length of lengths (x + 3), (2x + 3), (2x – 3) respectively. Calculate x.
-
A.
5 -
B.
1 -
C.
3 -
D.
6
Correct Answer: Option D
Explanation
2x + 3 (neq) 2x – 3 for any value of x
∴ for the (bigtriangleup) to be isosceles, either
2x – 3 = x + 3 or 2x + 3 = x + 3
solve the two equations we arrive at
x = 6 or x = 0
When x = 6, the sides are 9, 15, 9
When x = 0, the sides are 3, 4, -3 since lengths of a (bigtriangleup)can never be negative then the value of x = 6