Triangle PQR has PQ = 18 cm. The perpendicular height from R to PQ is h cm. The area of triangle PQR equals the area of a square with side 9 cm. Find the value of h.
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Worked Solution
Step 1: Find the area of the square.
Area of square = 9 × 9 = 81 cm²
Step 2: Set the area of the triangle equal to 81 cm².
½ × base × height = 81
½ × 18 × h = 81
9 × h = 81
Step 3: Solve for h.
h = 81 ÷ 9 = 9
Answer: h = 9
Correct answer: 9
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