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Home > CC4 > Chapter 3 > Lesson 3.1.4 > Problem 3-47

3-47.

3-46 imageThe 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 calculate the length of each side of the triangle. Be sure to confirm that your answer is correct. Homework Help ✎

Find the sum of the side lengths.

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

(7x − 4) + (19) + (10x + 3)

(7x − 4) + (19) + (10x + 3) = 52
17x + 18 = 52

Continue solving finding the value of x.

Find side lengths substituting your found value of x into the expression given for each side.