If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE a

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their areas?

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE 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 similar triangles. Here, AB = 4 cm and DE = 8 cm.
Step 2: Find the ratio of the lengths of the sides. This is done by dividing the length of side AB by the length of side DE: 4 cm / 8 cm.
Step 3: Simplify the ratio from Step 2. 4 cm / 8 cm simplifies to 1/2.
Step 4: To find the ratio of the areas of the triangles, square the ratio of the sides found in Step 3. (1/2)² = 1/4.
Step 5: Conclude that the ratio of the areas of triangle ABC to triangle DEF is 1/4.

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