Question

△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches.

What is the ratio of the area of △ABC to the area of △DEF ?

Enter your answer, in simplest form, in the boxes.


:

Answer 1

△ABC∼△DEF
Height of △ABC: h1=20 inches
Height of △DEF: h2=24 inches
Ratio of the area of △ABC to the area of △DEF: R=?

R=(h1/h2)^2
R=[ (20 inches) /(24 inches) ]^2
R=(5/6)^2
R=5^2/6^2
R=25/36

Answer: The ratio of the area of △ABC to the area of △DEF is 25/36