Homework Help: math

Posted by Anonymous on Thursday, December 2, 2010 at 12:03am.

the short side of an isosceles triangle is 16cm long. by increasing each side length by 24 cm doubles the perimeter.how long are the other sides of the original triangle? ..

math - L, Thursday, December 2, 2010 at 12:28am
Make an equation to help you solve!
We know that:
Side1=16cm
Side2=Side3
Let's name Side1 x, and Side2 and Side3 (Because they are the same) y.

Perimeter=Side1+Side2+Side3
Perimeter=x+y+y
Perimeter=x+2y

Sub in your value for x:
P=16+2y

Now, we also know that:
2P=(Side1+24cm)+(Side2+24cm)+(Side3+24cm)
2P=x+2y+72
2P=2y+72+16
2P=2y+88

Let's isolate for P:
2P=2y+88
(2P)/2=(2y+88)/2
P=y+44

Now we can equate the two equations to find y, because P=P!

Good luck (:

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