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The ratio of the sides of a triangle is 2:4:9. If the perimeter is 165 inches, what is the length of the longest side?

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Answer:

99inches

Explanation:

The ratio of the sides of a triangle =2:4:9.

perimeter = 165 inches,

Total ratio= 2+4+9=15

perimeter = 165

Divide the perimeter by total ratio

165/15=11

Each of the sides

= (2×11) =22

(4×11) =44

(9×11)=99

the length of the longest side= 99inches

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