SOLUTION: Two sides of a triangle have the same length. The third side measures 2 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the thre

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Question 1044829: Two sides of a triangle have the same length. The third side measures 2 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three​ sides? What is the length of the two sides that have the same​ length?
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let sides be a,b, and c
if two sides of a triangle have the same length,we know that a=b
if the third side measures 2m less than twice the common length, we have c=2a-2m
the perimeter is 14m and formula is:
P=a%2Bb%2Bc...since a=b and c=2a-2m we have
P=a%2Ba%2B2a-2m
P=4a-2m
14m=4a-2m
14m%2B2m=4a
16m=4a
highlight%28a=4m%29
than highlight%28b=4m%29 too
and c=2a-2m->c=2%2A4m-2m->c=8m-2m->highlight%28c=6m%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = each of the sides of the same length
+2x+-+2+ = the length of the 3rd side
+x+%2B+x+%2B+2x+-+2+=+14+
+4x+-+2+=+14+
+4x+=+16+
+x+=+4+
and
+2x+-+2+=+2%2A4+-+2+
+2x+-+2+=+6+
---------------------
The lengths of the sides are:
4m, 4m, and 6m
----------------------
The sides with the same length are 4m and 4m
-------------
check:
+4+%2B+4+%2B+6+=+14+
OK