kermitkalories kermitkalories
  • 21-08-2019
  • Mathematics
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another triangle also has side lengths in a ratio of 3:4:5 the largest side is 30 inches. what is the perimeter of the triangle

another triangle also has side lengths in a ratio of 345 the largest side is 30 inches what is the perimeter of the triangle class=

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 31-08-2019

Answer:

72 inches

Step-by-step explanation:

The total in ratio would be 3 + 4 + 5 = 12

The largest side is the ratio of "5". Now we can setup a proportionality and solve for other sides:

Let smallest side (3) be x and 2nd largest be (4) y. SO,

[tex]\frac{3}{5}=\frac{x}{30}\\5x=3*30\\5x=90\\x=\frac{90}{5}\\x=18[/tex]

18 is the smallest side.

Also

[tex]\frac{4}{5}=\frac{y}{30}\\5y=4*30\\5y=120\\y=24[/tex]

2nd largest side is 24

We know largest side is 30

Thus perimeter (sum of 3 sides) = 18 + 24 + 30 = 72 inches

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