Can someone please help me with this? thank u so much

Step-by-step explanation:

The perimeter of a triangle is calculated by adding all three side lengths together

That means x + 3 + x + 4 + x + 1 = 17 add the like terms

3x + 8 = 17

3x = 9

x = 3

BC = x + 3 ➡ 6

CD = x + 4 ➡ 7

BD = x + 1 ➡ 4

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Sum the 3 sides and equate to 17, that is

x + 3 + x + 1 + x + 4 = 17, that is

3x + 8 = 17 ( subtract 8 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Thus

BC = x + 3 = 3 + 3 = 6

CD = x + 4 = 3 + 4 = 7

BD = x + 1 = 3 + 1 = 4

step-by-step explanation: