What is the ratio of perimeter of def to abc

Question

asked Dec 9, 2023 229k views

1 Answer

Mbseid · Answer 1 · 2023-12-16T06:49:02+0000

Step 1. Calculate the perimeter of triangle DEF:

$\begin{gathered} \text{Perimeter DEF=}12+15+21 \\ \text{Perimeter DEF=48} \end{gathered}$

Step 2. Calculate the perimeter of triangle ABC:

$\begin{gathered} \text{Perimeter ABC=}8+10+14 \\ \text{Perimeter ABC=32} \end{gathered}$

Step 3. Divide the perimeters to find the ratio:

$\text{ratio perimeter DEF to }ABC=\frac{Perimeter\text{ DEF}}{Perimeter\text{ ABC}}$

The result is:

Step 4. Simplify the result:

Answer: 1.5