Triangle PQR is drawn on a square grid where each grid unit represents 1 cm. P and Q lie on the same horizontal gridline and PQ = 6 cm. R is located 2 cm to the right of P and 3 cm directly above the line PQ. The slant side QR measures 5 cm. What is the area of triangle PQR?
Show Worked Solution
Worked Solution
Step 1: Identify the base and perpendicular height.
Base PQ = 6 cm (lies along the horizontal gridline).
Step 2: The height must be perpendicular to the base.
R is 3 cm directly above line PQ, so the perpendicular height = 3 cm.
(QR = 5 cm is a slant side — it is not perpendicular to PQ.)
Step 3: Area = ½ × base × height = ½ × 6 × 3 = 9 cm²
Correct answer: 9 cm²
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