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Please help ASAP!!! I will mark the Brainliest!!

2. The scale factor t is 3/5 for similar triangles ABC and DEF. The area of the smaller triangle DEF is 576 in². Determine each of the following, showing all your work and reasoning.

A.) Ratio of the areas of the triangles.

B.) Area of Triangle ABC.

Please help ASAP I will mark the Brainliest 2 The scale factor t is 35 for similar triangles ABC and DEF The area of the smaller triangle DEF is 576 in Determin class=

Respuesta :

To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.  

Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.

The ratios of the areas of the  triangles is 3/5 x 3/5 or 9/25.

To determine the area of the larger triangle, you will solve the following equation using the information you know.  x is the area of the larger triangle.

9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches

The area of the larger triangle is 1600 square inches.

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