Question

Select the correct answer from the drop-down menu.Triangle has a perimeter of 40 inches. What is ?

Answer 1

Answer : AC = 10 inches

explanations :

• ∆ABC has perimeter = (40 ....given)

,

• Perimeter formula : ,P = sum of all three sides.

Therefore;

`\begin{gathered} P\text{ = (x+3)in + (x+1)in + }2x \\ \text{ 40 = }4x\text{ in + 4 } \\ 4x\text{ = 40 - 4 } \\ (4x)/(4)\text{ = }(36)/(4) \\ \therefore x\text{ = 9 } \end{gathered}`

Since we calculated x = 9 inches ,

Therefore AC = (x+1 )inches

= (9+1)inches

= 10 inches.