What is the ratio of the areas of two similar triangles if the ratio of their co

What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 3:4?

What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 3:4?

Step 1: Understand that the triangles are similar, which means their shapes are the same but their sizes are different.
Step 2: Note the ratio of the corresponding sides of the triangles, which is given as 3:4.
Step 3: Recognize that to find the ratio of the areas of similar triangles, you need to square the ratio of their corresponding sides.
Step 4: Calculate the square of the ratio 3:4. This means you take (3/4) and multiply it by itself: (3/4) * (3/4).
Step 5: Perform the multiplication: 3 * 3 = 9 (for the numerator) and 4 * 4 = 16 (for the denominator).
Step 6: Write the result as a fraction: 9/16. This is the ratio of the areas of the two similar triangles.

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