A triangular courtyard has a perimeter of 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the third side?

the third side is 40 m long

Step-by-step explanation:

The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)

Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)

Now set the following equation:

Perimeter = side 1 + side 2 + side 3 - -> replace these with the info you know

120 m = 30 m + 50 m + x - -> add 30 m and 50 m obtaining 80 m

120 m = 80 m + x - -> now solve for x (isolate the x on one side) by subtracting 80 m from both sides

120 m - 80 m = x - -> perform the subtraction 120 m - 80 m = 40 m

40 m = x

Which tells us that the third unknown side has a length of 40 m

The third side is 40 meters long

Step-by-step explanation:

From the question, we were told that a triangular courtyard has a perimeter of 120 meters, we are to find the length of the third side if the other two sides are 30 and 50 meters.

First, we need to know that perimeter is the distance around a polygon.

Let the third side = side c, let the two sides be side A and side B

Perimeter = side A + side B + side c

side A = 30 meters

side B = 50 meters

side C = ?

Perimeter = 120 meters

We can now proceed to insert the values in the equation above

Perimeter = side A + side B + side c

120 = 30 + 50 + side c

120 = 80 + side c

Subtract 80 from both-side of the equation

120 - 80 = 80 - 80 + side c

40 = side c

side c = 40 meters

Therefore, the third side is 40 meters long