Question

In the diagram, △ABC∼△DEF. The area of △ABC is 180 square centimeters. Find the area of △DEF.

Answer 1

Answer:

The area of ΔDEF is 60 $cm^{2}$

Step-by-step explanation: The similarity ratio of 2 triangles is 12/4=3. So we take 180/3=60

Answer 2

Answer:

20

Step-by-step explanation:

The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).

Now, for the similarity reason of the areas, we just square that number (3^2=9).

Then we just divide the area of the big triangle by 9, which is 180/9= 20.