What is AB: BC: CA equal to ?
Consider the following for the next two (02) items that follow :<br>The perimeter of a triangle ABC is 105 cm. The altitudes AD, BE and CF are in the ratio 3:5:6.
- A. 10:6:5
- B. 5:10:6 ✓
- C. 6:5:3
- D. 3:5:6
Correct Answer: B. 5:10:6
Explanation
The sides of a triangle are inversely proportional to their corresponding altitudes. Since AD, BE, CF correspond to sides BC, CA, AB, the side ratios are BC : CA : AB = \frac{1}{3} : \frac{1}{5} : \frac{1}{6} = 10 : 6 : 5. The requested ratio is AB : BC : CA = 5 : 10 : 6.
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