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प्रश्न
ΔАВС ~ ΔDEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ΔDEF is 25 cm, what is the perimeter of ΔАВС?
पर्याय
35 cm
28 cm
42 cm
40 cm
MCQ
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उत्तर
35 cm
Explanation:
Similar triangles have all corresponding lengths in the same ratio, so the scale factor `k = (AB)/(DE)`
= `(9.1)/(6.5)`
= `91/65`
= `7/5`
Perimeters scale by the same factor, so perimeter (ABC)
= `25 × 7/5`
= 35 cm
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