The ratio of the areas of two triangles is 1 : 2 and the ratio of their bases is 3 : 4. What will be the ratio of their height?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2 : 3.
| Understanding/Application |
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Let the bases of the triangles be 3x and 4x units. Heights of the triangles be a and b units respectively Ratio of their areas = (3x × a)/2 : (4x × b)/2 = 3a : 4b Given - 3a : 4b = 1 : 2 |
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3a/4b = 1/2 6a = 4b a/b = 4/6 = 2/3 a : b = 2 : 3 |