The lengths of the sides of a triangle are in the extended ratio 5 ​: 6 ​: 7. The perimeter of the triangle is 72 cm. What are the lengths of the​ sides? The lengths of the sides of the triangle in cm

Mathematics · College · Mon Jan 18 2021

Answered on

Given that :- ratio of length of side of triangle=5:6:7

perimeter of triangle=72cm

let the length of side of triangle be 5x,6x,7x

now we know that , perimeter of triangle=a+b+c where a= length of one side of triangle, b= length of another side of triangle, c=base of triangle

now, 72=5x+6x+7x

18x=72

x=72/18

x=4

length of one side=5x =5*4=20cm

length of base=6x =6*4=24cm

length of another side=7x =7*4=28cm