SOLUTION: If the area of equilateral triangle ABC is 12 cm2. What is the area of equilateral triangle DEF if the sides are two times as long as the sides of triangle ABC?

Algebra ->  Triangles -> SOLUTION: If the area of equilateral triangle ABC is 12 cm2. What is the area of equilateral triangle DEF if the sides are two times as long as the sides of triangle ABC?      Log On


   

Question 865346: If the area of equilateral triangle ABC is 12 cm2. What is the area of equilateral triangle DEF if the sides are two times as long as the sides of triangle ABC?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area+of+triangle+ABC%2F+area+of+triangle+DEF+=+a%5E2%2F%282a%29%5E2
Property of area of similar triangles


12%2F+area+of+triangle+DEF+=+a%5E2%2F4a%5E2
area of triangle DEF = 12*4 = 48