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Sagot :
The area of the similar triangle named ∆DEF is; 4 square centimeters.
How to find the area of a similar triangle?
We are given that ∆ABC is similar to ∆DEF.
The perimeter of ∆ABC is five times the perimeter of ∆DEF. Thus;
(Perimeter of ΔABC) = 5(Perimeter of ΔDEF)
Thus;
(Perimeter of ΔABC)/(Perimeter of ΔDEF) = 5
Thus, we can say that;
Scale factor, K = 5.
Since the area of ∆ABC is 100 square centimeters, Then;
(area of ∆ABC)/(area of ∆DEF) = K²
100/(area of ∆DEF) = 5² = 25.
(area of ∆DEF) = 100/25 = 4.
Thus, the area of ∆DEF is 4 square centimeters.
Complete Question is;
∆ABC is similar to ∆DEF. The perimeter of ∆ABC is five times the perimeter of ∆DEF. The area of ∆ABC is 100 square centimeters. The area of ∆DEF is square centimeters
Read more about Area of a Triangle at; https://brainly.com/question/11920446
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