CPM Homework Help : CCG Problem 1-65

A triangle with a bottom side of 10 x + 3, left side 7 x minus 4, and right side 19. The perimeter of the triangle at right is $52$ units. Write and solve an equation based on the information in the diagram. Use your solution for $x$ to find the measures of each side of the triangle. Be sure to confirm that your answer is correct.

Step 1:

Find the sum of the side lengths.

Step 2:

The sum of the side lengths is the perimeter, which we know from the problem is $52$ units. Set the expression from Step 1 equal to $52$ and solve for $x$ .

Step 1 Answer:

$(7x-4)+(19)+(10x+3)$

Step 2 Partial Answer:

$\begin{array}{r} (7x-4)+(19)+(10x+3)=52\\ 17x+18=52 \end{array}$

Continue solving to find the value of $x$ .

Step 3:

Determine each of the side lengths by substituting the value of $x$ into the expression given for each side.