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BECE Mathematics 2015 Paper

Question : 38

Total: 40

Solution:

The third side can be calculated using pythagoras theorem

The side facing the right-angled

(90^{\circ})

is the hypotenuse (c).

From the question hypotenuse

=13

Let

x=

the third side

\;x^2+5^2=13^2

\;x^2+25=169

\;x^2=169-25

\;x^2=144

A number when multiplied by itself gives

144.12 \times 12

is 144 , hence express 144 as

12 \times 12

12^2

x^2=12^2

Since the powers are the same, the bases are also the same.

x=12

The third side

=12

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