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Two triangles are similar. The smaller triangle has a perimeter of 2 units and an area of 2 square units. The perimeter of the larger triangle is 3 square units. What is the area of the larger triangle?

 Feb 19, 2021
 #1
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Two triangles are similar. The smaller triangle has a perimeter of 2 units and an area of 2 square units. The perimeter of the larger triangle is 3 square units. What is the area of the larger triangle?

 

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 Feb 19, 2021
 #2
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Let's check your work:

 

Small triangle         P1 = 12  (3+4+5)         A1 = 6

 

Large triangle         P2 = 24  (6+8+10)       A2 = ?         ? = 24

 

k = 24 / 12 = 2

 

A2 = k2 * A1 = 24

 

Good job, Omi67!!!

Guest Feb 19, 2021

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