Similar triangles are those triangles whose corresponding sides are in the same ratio. The area of the ΔDEF is 9.6 inches².
What are similar triangles?
Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
For similar triangles, the ratio of their area is equal to the square of the ratio of their sides. Therefore, we can write for the given triangles,
(Area of ΔDEF)/(Area of ΔABC) = (4/5)²
Area of ΔDEF = (16/25) × 15 in²
Area of ΔDEF = 9.6 in²
Hence, the area of the ΔDEF is 9.6 inches².
Learn more about Similar Triangles:
https://brainly.com/question/25882965
#SPJ1
