Question
A triangular window has dimensions such that its area is 45% of a square window of area 200 m². If its base is 10 m, find its height.
This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
18 m
The area of the square window is 200 m², and the triangular window's area is 45% of this value.
So the triangle's area is \(45\% \times 200 = \frac{45}{100} \times 200 = 90\) m².
The area of a triangle is \(\frac{1}{2} \times \text{base} \times \text{height}\), so \(90 = \frac{1}{2} \times 10 \times h\).
Solving, \(90 = 5h\), so \(h = 18\).
Hence, the answer is 18 m.
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