Problem 22 of 34geo-022
Triangle is similar to triangle . The shortest side of triangle is 6 centimeters long, and the shortest side of triangle is 15 centimeters long. The area of triangle is 20 square centimeters. What is the area of triangle , in square centimeters?
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Solution walkthrough1:41
- Similar triangles have the same shape. Matching sides give the scale factor: .
- Area uses two lengths: . The base and the height are each multiplied by .
- So the area is multiplied by .
- The area of is , so the area of is square centimeters.
- Traps: scales the area only once, doubles instead of squaring it, and adds .