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Sides as Expressions

Part of the Triangles section of Coddy's Geometry journey. Lesson 12 of 60.

When the sides are written with a letter, the perimeter rule gives an equation. Add the three sides, set them equal to the perimeter, and solve.

Triangle PQR with sides x plus 2, x plus 5, 2x plus 1 and perimeter 36

Here (x+2)+(x+5)+(2x+1)=36\left(x+2\right)+\left(x+5\right)+\left(2x+1\right) = 36. Collect the x terms and the numbers: 4x+8=364x+8 = 36, so 4x=284x = 28 and x=7x = 7. The sides are then 9, 12 and 15, which add up to 36.

On the board, tap a side, pick Perimeter, and the board writes the sum as your line. Finding x is not the end: put it back to get the actual sides when a question asks for them.

challenge icon

Challenge

The sides of △ABC are written with x and its perimeter is 30. Tap a side, pick the rule, and solve the equation the board writes for x.

Then press Check.

Try it yourself

Use the figure to find x

Use the figure to find x

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Triangles