SOLUTION: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.

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Question 93267: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the perimeter:
P+=+2s%2Bb where s = the length of one of the equal sides and b = the length of the base and P = 29 cm.
But s = 4b-8 s is "8 cm less than 4 times the length of the base"
Substituting 4b-8 for s in the formula for the perimeter:
29+=+2%284b-8%29%2Bb Simplify.
29+=+8b-16%2Bb
29+=+9b-16 Add 16 to both sides.
45+=+9b Divide both sides by 9.
5+=+b This is the length of the base, but you need the length of s, so...
s+=+4b-8
s+=+4%285%29-8
s+=+20-8
s+=+12cm.
Check:
P+=+2%2812%29%2B5
P+=+24%2B5
P+=+29