Question

Triangle T, shown below, is similar to triangle S. The area of triangle S is 5400 cm2. What is the area of triangle T?

Answer 1

1,900^2

Explanation:

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Answer 2

1,944 cm^2

Step-by-step explanation:The side lengths of triangle T are

9

15

=

3

5

times the corresponding side lengths of triangle S. Both the base and the height of triangle T are

3

5

times the base and height of triangle S, so the area of triangle T is (

3

5

)2 =

9

25

times the area of triangle S. Thus, triangle T has area 5400(

9

25

) = 1,944 cm2 .