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The lengths of the sides of a triangle are in ratio 5 : 7 : 9. The middle-in-length side is 35 cm. Find the perimeter of the triangle.
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Answer:

The perimeter of the triangle is 105 cm.

Step-by-step explanation:

The ratio of sides of a triangle is [tex]5:7:9[/tex].

The length of middle side is 35 cm.

Let first side of the tringle is [tex]x[/tex], length of third side is [tex]y[/tex]. middle side is of 35 cm.

So, the ratio of length of sides can be written as,

[tex]x:35:y=5:7:9[/tex]

Compare the ratio to get the value of [tex]x[/tex] and [tex]y[/tex].

[tex]x:35:y=25:35:45\\x=25\\y=45[/tex]

Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.

Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,

[tex]p=25+35+45\\p=105[/tex]

Therefore, the perimeter of the triangle is 105 cm.

For more details, refer the link:

https://brainly.com/question/20955459?referrer=searchResults

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