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Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triangle DEF is similar to ΔABC. If EF = 4 cm, then the perimeter of ΔDEF is :

  • a)
    7.5 cm

  • b)
    15 cm

  • c)
    22.5 cm

  • d)
    30 cm

Correct answer is option 'B'. Can you explain this answer?
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Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triang...


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Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triang...
Triangle ABC with a scale factor of 2. The length of segment DE is 6 cm. What is the length of segment EF?

To find the length of segment EF, we can use the concept of scale factor. Since triangle DEF is similar to triangle ABC with a scale factor of 2, we can say that the ratio of corresponding sides is equal to the scale factor.

In triangle ABC, AB = 3 cm and BC = 2 cm. The ratio of AB to DE is 3:6, which simplifies to 1:2.

Therefore, the length of segment EF can be found by multiplying the length of segment DE by the scale factor:
EF = DE * Scale factor = 6 cm * 2 = 12 cm.

So, the length of segment EF is 12 cm.
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Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triang...
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Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triangle DEF is similar to ΔABC. IfEF = 4 cm, then the perimeter of ΔDEF is :a)7.5 cmb)15 cmc)22.5 cmd)30 cmCorrect answer is option 'B'. Can you explain this answer?
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