Question

Let the lengths of the sides of a triangle be represented by x+3,2 x-3 and 3 x-5. If the perimeter of the triangle is 25 , what is the length of the shortest side?

Answer 1

To find the length of the shortest side of the triangle, set up an equation using the given expressions and solve for x. Substitute the value of x back into the expression for the shortest side to find its length.

Step-by-step explanation:

To find the length of the shortest side of the triangle, we need to find the expression that represents the shortest side.

Let's simplify the expressions:

• Shortest side: x+3
• Second side: 2x-3
• Longest side: 3x-5

The perimeter of a triangle is the sum of the lengths of its sides. We can set up an equation to find x:

(x+3) + (2x-3) + (3x-5) = 25

Simplifying the equation:

6x - 5 = 25

6x = 30

x = 5

Now we can substitute x=5 into the expression for the shortest side:

Shortest side = 5+3 = 8

So, the length of the shortest side of the triangle is 8.