Posted by **Anonymous** on Monday, October 4, 2010 at 5:16pm.

In triangle ABC, CD is both the median and the altitude. If AB=5x+3, AC=2x+8, and BC=3x+5, what is the perimeter of triangle ABC?

- geometry -
**Henry**, Monday, October 4, 2010 at 7:39pm
Since CD is BOTH the median and altitude, the triangle is isosceles

and AB is the short side. The 2 long

sides(AB and BC) are equal.

AB = BC,

2X + 8 = 3X + 5,

2X - 3X = 5 - 8,

-X = -3,

X = 3.

P = AB + AC + BC,

P = (5X + 3) + (2X + 8) + (3X + 5),

P = (5*3 + 3) + (2*3 + 8) + (3*3 + 5),

P = 18 + 14 + 14 = 46.

- geometry -
**lisa**, Monday, May 9, 2011 at 12:13am
fine the perimeter of ABCD = 46. AB = x+9, CD= 2x-7

- geometry -
**Anonymous**, Thursday, August 11, 2011 at 5:12pm
1.05] Find the distance between the points (3, 0) and (-1, 5)

- geometry -
**tyler**, Monday, August 29, 2011 at 6:41pm
A, B, and C are collinear, AB = 5x - 19, and BC = 3x + 4. Find an

expression for AC if B is between A and C.

## Answer this Question

## Related Questions

- Geometry - Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are...
- geometry - Triangle ABC is a right triangle such that m angle B= 90 degrees. If ...
- Geometry - Can you help me with Always, Sometimes, Never questions?? I have ...
- Geometry Honors - Can someone help me with Always, Sometimes, Never questions?? ...
- math - The base of triangle ABC is one half the altitude. The altitude of ...
- math - The base of triangle ABC is one half the altitude.The altitude of ...
- HELP!!!!RIGHT NOW!!!! - Which set of side lengths shows similar triangles? (1 ...
- geometry - The medial triangle of a triangle ABC is the triangle whose vertices...
- Hard Geometry Problem - Hi guys. I need a lot of help on this. "Equilateral ...
- Geometry - In right triangle ABC, the median to the hypotenuse has length 15 ...

More Related Questions