The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet find the measures of the sides

Respuesta :

Answer: 45, 60 and 25

Step-by-step explanation:

9:12:5

9 + 12 + 5 = 26

now to get the first sides

9/26 × 130 = 1170/26 = 45

To get the second side;

12/26 × 130 =1560/26=60

To get the third side;

5/26 × 130 =650/26 = 25

The sides of the triangle are 45 feet, 60 feet and 25 feet.

The Perimeter of Triangle

The perimeter of the triangle is the sum of all the side lengths of the triangle.

[tex]P = a+b+c[/tex]

Where a, b and c are three sides of a triangle.

Given that the sides of a triangle are in a ratio of 9:12:5 and its perimeter is 130 feet.

Let us consider that x is the basic measurement of a side of the triangle, then the ratio of the triangle is given as,

Ratio = 9x : 12x : 5x

In this case, the perimeter is,

[tex]P = 9x + 12x + 5x\\130 = 9x + 12x + 5x\\26 x = 130\\x = 5[/tex]

The side of the triangle is given below.

[tex]a = 9\times 5 = 45\\b = 12\times 5 = 60\\c = 5 \times 5 = 25[/tex]

Hence the sides of the triangle are 45 feet, 60 feet and 25 feet.

To know more about the perimeter of a triangle, follow the link given below.

https://brainly.com/question/20955459.

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