The lengths of the sides of a triangle are in the extended ratio 1 : 2 : 5. the perimeter of the triangle is 32 ft. the length of the longest side is:

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Banabanana Banabanana · Answer 1 · 2017-07-15T12:48:55+02:00

The sides of the triangle are x, 2x and 5x

x + 2x + 5x = 32
8x = 32
x = 32/8
x = 4

longest side = 5x = 5*4 = 20 ft

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AmitPaswan AmitPaswan · Answer 2 · 2022-07-19T12:55:12+02:00

The length of longest side of the triangle is 20 ft .

The perimeter of a triangle is defined as the total length of its boundary.

The basic formula used to calculate the perimeter of a triangle is:

Perimeter = sum of the three sides

According to the question

The lengths of the sides of a triangle are in the extended ratio 1 : 2 : 5 .

Let common constant factor within ratio = x

Therefore,

Sides of triangle = x , 2x , 5x

and the perimeter of the triangle = 32 ft

i.e

according to the formula of perimeter of a triangle:

Perimeter = sum of the three sides

Now,

Substituting the value in formula

[tex]32 = x + 2x + 5x[/tex]

[tex]32 = 8x[/tex]

[tex]x = 4[/tex]

The sides of triangle is : 4 ft , 2*4 , 5*4

: 4 ft , 8 ft , 20 ft

Hence, the length of longest side of the triangle is 20 ft

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