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Equal Angles Subtend Equal Sides

The perimeter...

Question

The perimeter of an isosceles triangle is $45 c m$ .if length of the non -congruent side is half the length of the congruent sides, find the length of the congruent sides.

A

4.5

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B

9 c m

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C

12 c m

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D

18 c m

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Solution

The correct option is D $18 c m$
given perimeter $= 45 c m$
$b = \frac{a}{2} a + a + \frac{a}{2} = 45$
$\frac{5 a}{2} = 45$
$a = 18 c m$
length of congruent sides is $18 c m$

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