The base and height of a triangle are in the ratio 3:2 and its area is 108 cm². Find its height.
A12 cm
B14 cm
C16 cm
D18 cm
Explanation
Let base = 3x, height = 2x. Area = 0.5 * base * height = 0.5 * (3x) * (2x) = 3x^2. 3x^2 = 108 => x^2 = 36 => x = 6. Height = 2 * 6 = 12 cm.
Exam Relevance
- Topic: Geometry & Mensuration
- Subtopic: Triangles
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