The figure shows a right-angled triangle PQR where PQ is perpendicular to QR. PQ = 24 cm and QR is twice as long as PQ. Find the area of triangle PQR.
Show Worked Solution
Worked Solution
Step 1: Find the length of QR.
QR = 2 × PQ = 2 × 24 = 48 cm.
Step 2: Recall the formula. Area of a right-angled triangle = ½ × base × height, with the two perpendicular sides as base and height.
Step 3: Substitute and compute.
Area = ½ × 24 × 48 = ½ × 1 152 = 576 cm².
Answer: 576 cm²
Correct answer: 576 cm²
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