ΔABC ~ ΔDEF and their perimeters are 64 cm and 48 cm respectively. What is the length AB, if DE is equal to 9 cm?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 12 cm
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Concept |
Understanding |
Application |
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If 2 triangles are similar: Ratio of perimeters is equal to the ratio of sides of the triangles. |
Given: ΔABC ~ ΔDEF and their perimeters are 64 cm and 48 cm respectively. |
AB/BE = Perimeter of ΔABC/ Perimeter of ΔDEF ⇒ AB/9 = 64/48 ⇒ AB = 64/48 × 9 ⇒ AB = 4/3 × 9 ⇒ AB = 12 |