Question

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.

Answer 1

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

$\frac{215}{43}$ = 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