Question

What is the perimeter of triangle mno

Answer 1

`\huge{\boxed{82.8\text{ units}}}`

Explanation:

Because the triangles have all of the same angles, similarity can be proven via AAA.

Now that ΔJKL ~ ΔMNO, the sides must be proportional.

Because the sides are proportional, the following equation can be made:

`(24)/(20)=(x)/(22)`

Via cross-multiplication, the equation simplifies to:

20x = 24 * 22

20x = 528

x = 26.4

Now, because perimeter is simple the sum of all sides, the perimeter of ΔMNO is simply 32.4 + 24 + 26.4, or 82.8.

Hope it helps :) and let me know if you want me to elaborate.