Question

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

Short answer

Third side is $40$meters

Step-by-step solution

Step 1. Given information

A triangular courtyard has perimeter $120$meters. The lengths of two sides are $30$meters and $50$ meters.

Step 2. Third side

The parameter is the sum of all three sides.

Let the third side be x,

Therefore

$$\begin{gathered} 30+50+x=120 \\ 80+x=120 \\ x=120-80 \\ x=40 \end{gathered}$$

Step 3. Verification

Verify the third side as,

$$\begin{gathered} 30+50+40=120 \\ 120=120 \end{gathered}$$

LHS is equal to RHS.