Chapter 4.3, Problem 38PPS

To determine

To calculate:To write and solve the equation to find the length of the missing side of triangle

Answer to Problem 38PPS

Equations to find the length of the missing side of triangle is $27.1=20.7+x$

Third side of triangle is $6.4$ feet

Explanation of Solution

Given information:Perimeter of triangle is $27.1$ feet and the sides of the triangle measures $9.8$ feet, $10.9$ feet and $x$ feet.

Formula Used:

Perimeter of triangle is equal to sum of all sides of triangle

Calculation:

Perimeter of triangle is $27.1$ feet

Also, sides of the triangle measures $9.8$ feet, $10.9$ feet and $x$ feet.

Therefore, we get

$\begin{array}{l}27.1=9.8+10.9+x\\ 27.1=20.7+x\end{array}$

Now, Equation is given as

$27.1=20.7+x$

On solving above equation,

> $\begin{array}{l}x=27.1-20.7\\ x=6.4\end{array}$

Hence, third side of triangle is $6.4$ feet