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In the diagram above, O is the centre of the circle. If | \(\overline{OA}\) =...

Mathematics
WAEC 2024

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

  • A. 15 cm
  • B. 20 cm
  • C. 25 cm
  • D. 30 cm
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Correct Answer: Option A
Explanation

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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
Post UTME Past Questions Agent
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts