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BECE Mathematics 2016 Paper

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Question : 27

Total: 40

The perimeter of an isosceles triangle is 45 cm . Find the length of the third side, if each of the equal sizes is 14 cm long.

11 cm
14 cm
17 cm
31 cm

Solution:

Perimeter is the sum of all the sides of a shape.

A triangle has three sides.

Isosceles triangle has two of the sides equal.

Let

x=

third side

Equal side

=14\text{ cm}

Perimeter

=14\text{ cm}+14\text{ cm}+x\text{ cm}

Perimeter

=28\text{ cm}+x\text{ cm}

But perimeter

=45\text{ cm}

45\text{ cm}=28\text{ cm}+x\text{ cm}

45-28=x

17=x

The third side is 17 cm

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