In the diagram, ∠ QPR = 90 o . If q 2 = 25 -

MATHEMATICS
WAEC 2008

In the diagram, ∠ QPR = 90o. If q2 = 25 - r2. Find the value of p

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Correct Answer: C. 5

Explanation

Given q2 = 25 - r2.....(1)

from Pythagoras theorem

p2 = q2 + r2....(2)

put(1) into (2)

p2 = 25 - r2 + r2

p2 = 25

p = \(\sqrt{25}\)



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