Posted by **Anonymous** on Tuesday, January 10, 2012 at 12:30am.

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3-inch and 5-inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem)

- Geometry -
**Reiny**, Tuesday, January 10, 2012 at 1:12am
let the shorter side be a, then the longer side is a+x

by the Triangle Angle Bisector Theorm

(a+x)/5 = a/3

3a + 3x = 5a

3x = 2a

a = 3x/2 = 1.5x

so the sum of the three sides

= a + a+x + 8

= 1.5x + x + 8

= 2.5x + 8

- Geometry -
**Anonymous**, Tuesday, January 10, 2012 at 9:31pm
Reiny, if a+a+x+8 then how come it is 1.5x+x+8=2.5x+8? I thought that it is 1.5x+1.5x+x+8=4x+8. Previous problem:one side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3-inch and 5-inch segments. Find the perimeter of the triangle in terms of x.

- Geometry -
**GeoGeo**, Tuesday, January 29, 2013 at 7:28pm
Anonymous is correct, for the answer is 4x+8.

## Answer This Question

## Related Questions

- Geometry - One side of a triangle is x inches longer than another side. The ray...
- Geometry - One side of a triangle is x inches longer than another side. The ray...
- Geometry - Reiny, according to this problem(one side of a triangle is x inches ...
- geometry/math pls help - The lengths of segments PQ and PR are 8 inches and 5 ...
- geometry (check answers) - Determine whether you can construct many, one, or no ...
- Geometry - In ^DEF, the bisector of <F divides the opposite sides into ...
- math pls - The lengths of segments PQ and PR are 8 inches and 5 inches, ...
- geometry - A triangle has a 56-degree angle, formed by a 10-inch side and an x-...
- geometry - An angle bisector of a triangle divides the opposite side of the ...
- Trig - The lengths of segments PQ and PR are 8 inches and 5 inches, respectively...

More Related Questions