Perimeter of triangle is 300m. Its sides are in ratio 5:12:13. Find the length of the longest
altitude of the triangle.
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Explanation:
Perimeter=300m
Ratio=5,12,13
Let the length be x
5x+12x+13x=300
30x=300
×=300/30
x=10
The length of 1st altitude= 5x=5(10)=50m
The length of 2nd altitude=12x=12(10)=120m
The length of 3rd altitude=13x=13(10)=130m
The length of the longest altitude is the 3rd length which is 130m
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