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If triangles ABC and DEF are similar and AB=4cm, DE=6cm, EF=9cm and FD=12cm, the perimeter of triangle ABC isurgent pls answer |
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Answer» Answer: 18 CM is the answer. Explanation:As per the dimensions GIVE in the questions, Now, we have to find out the perimeter of △ABC Let △ABC∼△DEF So, AB/DE=AC/DF=BC/EF Consider, AB/DE=AC/DE 4/6=AC/12 By cross MULTIPLICATION we GET, AC=(4×12)/6 AC=48/6 AC=8cm Then, consider AB/DE=BC/EF 4/6=BC/9 BC=(4×9)/6 BC=36/6 BC=6cm Therefore, the perimeter of △ABC=AB+BC+AC =4+6+8 =18cm. |
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