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The three sides of an isosceles triangle are le... - JAMB Mathematics 1993 Question

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
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Correct Option: D

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

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