# algebra

The perimeter of a triangle is 57in. The longest side is 13in. longer than the medium side, and the medium side is 7 in. more than the shortest side. find the length of each side of the triangle.
The length of the longest side is ___in, the length of the medium side is __in. and the length of the shortest side ___in.

1. 👍
2. 👎
3. 👁
1. well, just use what you're told. If the medium side is x, then

x-7 + x + x+13 = 57

Now just find x and you're almost done.

1. 👍
2. 👎
2. x=17
x-7=10+17=27+17=44+13=57

1. 👍
2. 👎

## Similar Questions

1. ### geometry

the perimeter of a triangle is 59 inches. the longest side is 11 inches longer than the medium side, and the medium side is 3 inches more than the shortest side. Find the length of each side.

2. ### geometry

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the

3. ### math

A triangle whose sides are 5,12, and 13 inches is similar to a traingle whose longest side is 39 inches. What is the perimeter of the larger triangle?

4. ### Geometry

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

1. ### Math

A certain triangle has a perimeter of 3080 mi. The shortest side measures 71 mi less than the middle​ side, and the longest side measures 373 mi more than the middle side. Find the lengths of the three sides.

2. ### Geometry

The sides of a triangle have lengths of 9, 11, and 16 units. What is the perimeter of a similar triangle with its longest side 24 units in length?

3. ### math

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

4. ### math

One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side. The perimeter is 38cm. Find the dimension of the triangle

1. ### Math

The first side of a triangle is 7cm shorter than twice the length of the second side.The third side is 4cm longer than the first side. The perimeter is 80cm. Calculate the length of each side of this triangle.

2. ### Math

One side of a triangular banner is 1 ½ times longer than the second side and 2 cm shorter than the third side. The perimeter of the triangle is 98 cm. How long is the shortest side?