Discussion

Explanation:

Let the three sides are 5a, 12a and 13a.

Area of triangle = $\frac{1}{2}$ × side₁ × height₁ = $\frac{1}{2}$ × side₂ × height₂ = $\frac{1}{2}$ × side₃ × height₃

Hence, 5a × altitude₁ = 12a × altitude₂ = 13a × altitude₃.

altitude₁ : altitude₂ : altitude₃ = $\frac{1}{5}:\frac{1}{12}:\frac{1}{13}$ = 156 ∶ 65 ∶ 60

Hence, option (c).

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