Posted by **TRACI** on Sunday, August 28, 2011 at 9:30pm.

the perimeter of a triangle is 51 centimeters, the longest side is 1 centimeter less than the sum of the other two sides. twice the shortest is 11 centimeters less than the longest side. find the lengths of each side of the triangle.

- ALEGBRA II -
**bobpursley**, Sunday, August 28, 2011 at 9:45pm
L=S1+S2-1

2*S1+11=L

L+S1+S2=51

rearranging these

S1+S2-L=1

2S1 -L=-11

S2+S2+L=51

add the two last equations

2S1+S2=40

subtract the first from the second

S1-S2=-12

add these two equations

3S1=28

S1=7

can you take if from here?

- ALEGBRA II ( inaccuracy -
**Mgraph**, Sunday, August 28, 2011 at 10:09pm
... add the two last eq.

3S1+S2=28

...

4S1=28

- ALEGBRA II -
**bobpursley**, Sunday, August 28, 2011 at 10:13pm
Thanks. I typoed and did not catch it.

## Answer This Question

## Related Questions

- math - the perimeter of a triangle is 54 centimeters. the longest side is 6 ...
- ALGEBRA - The perimeter of a triangle is 52 centimeters. The longest is 2 ...
- Algebra - The perimeter of a triangle is 52 centimeters. The longest is 2 ...
- Math - The perimeter of a triangle is 19 cm. If the length of the longest side ...
- Algebra - The backyard of a house is in the shape of a triangle. The longest ...
- Intermediate Algebra - The perimeter of a triangle is 48 centimeters. The ...
- math - according to the triangle inequality, the length of the longest side of a...
- geometry - The perimeter of a triangle is equal to 12 inches. The length of the ...
- pre- algebra - The perimeter of a triangle is 24 cm. One side is 2 cm longer ...
- algebra 2 - the perimeter of a triangle is 49 centimeters. find the lenghts of ...

More Related Questions