The ratio of the measures of the sides of a triangle is 21: 8: 14. if the perimeter of the triangle is 215 ft, find the length of each side.

The length of sides of triangle are 105 feet, 40 feet and 70 feet.

Given that the ratio of the measures of the sides of a triangle is 21:8:14.

Let us consider that sides of triangle are 21x , 8x and 14 x.

Since, the perimeter of the triangle is 215 feet.

So that,      

So , length of sides of triangle are,

Therefore, The length of sides of triangle are 105 feet, 40 feet and 70 feet.

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Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle

add the parts of the ratio 21 + 8 + 14 = 43

divide the perimeter by 43 to find the value of one part of the ratio

= 5 ft ← 1 part of the ratio, hence

21 parts = 21 × 5 = 105 ft

8 parts = 8 × 5 = 40 ft

14 parts = 14 × 5 = 70 ft

the 3 sides of the triangle are 105 ft, 40 ft and 70 ft

i would need to see the dot plot : )