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Question

A triangle Δ PQR with Q=90, QR = 8 cm and PR = 10 cm is constructed. What would be the measure of PQ?
  1. 4 cm
  2. 10 cm
  3. 6 cm
  4. 3 cm


Solution

The correct option is C 6 cm
Given Q=90, which means that the sides PQ and QR are the sides and PR is the hypotenuse of the right angle triangle. Using Pythagoras theorem, we get 
PR2=PQ2+QR2
102=PQ2+82
PQ2=10282
PQ2=10064
PQ2=36
PQ=6

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