Answer:
The perimeter is equal to \(67.5\ in\)
Step-by-step explanation:
In this problem we have a ratio of three numbers
\(2:3:4\)
Let
x------> the first side (shortest side)
y------> the second side
z------> the third side
we know that
\(\frac{x}{y}=\frac{2}{3}\) --> \(y=\frac{3}{2}x=1.5x\) ----> equation A
\(\frac{x}{z}=\frac{2}{4}\) ---> \(z=\frac{4}{2}x=2x\) -----> equation B
\(x=15\ in\)
Substitute the value of x in the equation A and equation B
\(y=1.5(15)=22.5\ in\)
\(z=2(15)=30\ in\)
Find the perimeter of triangle
Remember that the perimeter is equal to the sum of the length sides
\(P=x+y+z=15+22.5+30=67.5\ in\)
