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Answer:
see explanation
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
[tex]\frac{215}{43}[/tex] = 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
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,
[tex]21x+8x+14x=215\\\\43x=215\\\\x=\frac{215}{43}=5[/tex]
So , length of sides of triangle are,
[tex]21x=21*5=105\\\\8x=8*5=40\\\\14x=14*5=70[/tex]
Therefore, The length of sides of triangle are 105 feet, 40 feet and 70 feet.
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