Question

If a triangle has sides 14 centimeters and 18 centimeters and the perimeter is 49 centemeters, how long is the third side?

Short answer

The third side of triangle c=$17centimeters$

Step-by-step solution

Step 1. Given information

Perimetre of the given triangle=$49centimeters$

Let One side of the triangle ‘a’=$14centimeters$

Let Second side of the triangle ‘b’=$18centimeters$

Step 2. Finding the third side of the triangle

Formula of perimeter of a triangle $P=a+b+c$

$$\begin{gathered} 49=14+18+c \\ 49=32+c \\ 49-32=c \\ 17=c \\ c=17 \end{gathered}$$

Step 3. Checking

Check the solution by using the formula

$$\begin{gathered} P=a+b+c \\ 49=14+18+17 \\ 49=49\left[true\right] \end{gathered}$$

Therefore,third side of triangle =$17centimeters$