Question - Calculating Missing Side of Similar Triangles
Solution:
The image shows two triangles, and it states that the ratio of the larger triangle to the smaller triangle is 3. Since the ratio is given as the "size" or "scale" of the larger to the smaller, we should understand it to apply to corresponding sides of the triangles.Let's assume the triangles are similar; then the corresponding sides are proportional with the ratio of 3. We can use the given sides to find the unknown side of the smaller triangle.If we look at the larger triangle, the side shown is 21. We need to find what the corresponding side in the smaller triangle is. Since the ratio is 3, we divide the larger side by the ratio to find the corresponding smaller side:21 (larger side) / 3 (ratio) = 7 (smaller corresponding side)So, the missing side of the smaller triangle is 7 units in length.
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