134k views
2 votes
7. The perimeter of a triangle is 47cm. If the longest side of the triangle is 4 cm less than threetimes the shortest side and the third side is 6 cm more than the shortest side how long is the thirdside of the triangle?

User Chaunte
by
8.0k points

1 Answer

5 votes

Let

x -----> the longest side of the triangle

y -----> the shortest side

z -----> the third side

we have that

the perimeter P is equal to

P=x+y+z

P=47 cm ----> given

so

x+y+z=47 ------> equation A

x=3y-4 ------> equation B

z=y+6 -----> equation C

substitute equation B and equation C in equation A

(3y-4)+y+(y+6)=47

solve for y

5y+2=47

5y=45

y=9 cm

Find out the value of z

z=y+6

z=9+6=15 cm

therefore

the third side is 15 cm long

User Shubham Jha
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories