Two similar triangles have corresponding sides in the ratio 1 : 4. The smaller triangle has an area of 6 cm². What is the area of the larger triangle?
Answer and explanation
Correct answer: D.
- Step 1: Areas of similar figures are in the ratio of the squares of their sides: .
- Step 2: cm².
Answer
.
Why not the others: : the area was scaled by the linear ratio instead of the ratio squared. : the ratio was cubed, which applies to volumes. : the scale factor was added instead of multiplied.
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