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If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 c

Practice Questions

Q1
If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of their areas?
  1. 1:2
  2. 1:4
  3. 2:1
  4. 4:1

Questions & Step-by-Step Solutions

If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of their areas?
  • Step 1: Identify the lengths of the corresponding sides of the triangles. Here, DE = 4 cm and GH = 8 cm.
  • Step 2: Find the ratio of the lengths of the corresponding sides. This is done by dividing DE by GH: 4 cm / 8 cm = 1/2.
  • Step 3: To find the ratio of the areas of the triangles, square the ratio of the sides. So, (1/2)^2 = 1/4.
  • Step 4: Conclude that the ratio of the areas of triangle DEF to triangle GHI is 1/4.
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