Triangle determination/congruence versus similarity conditions; AA, proportional SSS and proportional SAS similarity; Using corresponding sides in practical proportions
Example 1
Similar triangles have corresponding sides 2cm and 10cm. A smaller side is 5cm. Find its larger counterpart.
Show worked answer
Answer: 25
- Use the common linear scale factor.
Example 2
Similar solids have linear scale factor 4. Find their volume scale factor.
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Answer: 64
- Volume scales as the cube of the linear factor.
Example 3
Similar figures have area scale factor 9. Find the positive linear scale factor.
Show worked answer
Answer: 3
- Take the positive square root of the area factor.