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WAEC Mathematics 2024 Paper

Question : 23

Total: 50

In the diagram above, O is the centre of the circle. If | $\overline{OA}$ = 25 cm and | $\overline{AB}$ = 40 cm, find | $\overline{OH}$ |

Solution:

Line OH divides Line AB into two halves, therefore, Line AH = Line HB = 20cm

Considering $\triangle$ AOH

( $\overline{OH})^2$ = 25 $^2$ - 20 $^2$ = 625 - 400 = 225

Taking the square root of both sides

( $\overline{OH}$ = $\sqrt{225}$ = 15 cm

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