Posted by **anonymous** on Saturday, October 27, 2007 at 11:41am.

The base of an isosceles triangle and one of its legs have lengths that have consecutive integers. The leg is longer than the base. The perimeter of the triangle is 20. Find the length of each side of the triangle.

*Please help me- I am having a really bad day. Thank you.*

- algebra -
**Reiny**, Saturday, October 27, 2007 at 11:53am
Let the base be x units long.

"Consecutive integers" are one apart, so if the first one is x then the next one must be x+1.

So the other two sides must be x+1 each.

Since perimeter is the sum of the 3 sides...

x + x+1 x + x+1 = 20

3x + 2 = 20

3x=18

x=6

So the base is 6 and each of the other two sides is 7

check: 6 and 7 are consecutive integers

6+7+7 = 20

- algebra -
**Reiny**, Saturday, October 27, 2007 at 12:06pm
It was clearly a typo

looking at the line that follows should have made it obvious.

this is what it should have been putting the sides in brackets

(x) + (x+1) + (x+1) = 20

- algebra -
**anonymous**, Saturday, October 27, 2007 at 12:12pm
ok I get it. I got x= 6 now i can go from there. Thanjs much for all your help!

## Answer this Question

## Related Questions

- Math - Two isosceles triangles have perimeters of 8 and 15 centimeters, ...
- Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...
- math - the perimeter of isosceles triangle is 70 d. of the length of a leg of ...
- alegbra - This isosceles triangle has two sides of equal length, a, that are ...
- Algebra - The legs of an isosceles triangle are 0.3 foot less than twice the ...
- math - The base of an isosceles triangle is four less than the sum of the ...
- mathematics - the base of an isosceles triangle is 27dm.if the length of a leg ...
- geometry - The perimeter of an isosceles triangle is 37 in. The lengths of the ...
- Geometry - Isosceles triangle base is 7 more than one-half times the legs. ...
- Geometry - Isosceles triangle base is 7 more than one-half times the legs. ...

More Related Questions