SOLUTION: Find the perimeter of a triangle if on side is 35cm, another side is 1/3 of the perimeter, and the third side is 1/4 of the perimeter.

Algebra ->  Inequalities -> SOLUTION: Find the perimeter of a triangle if on side is 35cm, another side is 1/3 of the perimeter, and the third side is 1/4 of the perimeter.      Log On


   



Question 121742: Find the perimeter of a triangle if on side is 35cm, another side is 1/3 of the perimeter, and the third side is 1/4 of the perimeter.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


the perimeter is:
P+=+a+%2B+b+%2B+c
given:
a+=+35cm
b+=+%281%2F3%29P
c+=+%281%2F4%29P

P+=+35cm+%2B+%281%2F3%29P+%2B+%281%2F4%29P+
P+=+35cm+%2B+P+%2F3+%2B+P+%2F4+……….multiply both sides by 12
12P+=+12%2A35cm+%2B+12%28P+%2F3%29+%2B+12%28P+%2F4%29+……….
……….
12P+=+420+cm+%2B+4P++%2B+3P++……….
12P+=+420+cm+%2B+7P++……….
12P+-+7P++=+420+cm+……….
5P+=+420+cm+……….
P+=+420+cm%2F5+……….
highlight%28P+=+84+cm%29+……….

b+=+%281%2F3%29P
b+=+84+cm+%2F3
+highlight+%28b+=+28+cm%29+



c+=+%281%2F4%29P
c+=+84+cm+%2F4
+highlight+%28c+=+21+cm%29+

Check:

P+=+a+%2B+b+%2B+c
84+cm+=+35cm+%2B+28+cm+%2B+21+cm+
84+cm+=+63cm+%2B+21+cm+
84+cm+=+84+cm+