Question

"The perimeter of a triangle is 172 - 5 units. One side is 3.c + 5 units and another is 82

3 units. How many units long is the third side?

6-7

06-13

12r-7

22. - 23
"

Answer 1

To find the length of the third side of the triangle, you first add the known side lengths and then substitute this sum into the perimeter equation. After rearranging, the length of the third side is found to be 77 - 3c units.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. To find the length of the third side, we use the formula perimeter = side1 + side2 + side3.

According to the given information:

• The perimeter of the triangle is 172 - 5 units.
• One side is 3c + 5 units.
• Another side is 82 + 3 units.

We can set up an equation: (3c + 5) + (82 + 3) + third side = 172 - 5.

Now, solve for the third side:

1. Add the known side lengths: (3c + 5) + (82 + 3) = 3c + 5 + 82 + 3 = 3c + 90.
2. Now substitute this sum into the perimeter equation: 3c + 90 + third side = 167.
3. Rearrange to solve for the third side: third side = 167 - (3c + 90).

Therefore, the length of the third side can be expressed as 167 - 3c - 90.

Simplify this expression to find the third side's length in terms of c: third side = 77 - 3c units