Triangle A has sides of lengths 60 , 45 , and 54 . Triangle B is similar to triangle A and has a side of length 7 . What are the possible lengths of the other two sides of triangle B?
1 Answer
Explanation:
Since the triangles are similar the the ratios of corresponding sides are equal.
Name the 3 sides of triangle B , a , b and c , corresponding to the sides 60 , 45 and 54 in triangle A.
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If side a = 7 then the ratio of corresponding sides= 7/60
hence b =45xx7/60 = 21/4" and " c = 54xx7/60 = 63/10
The 3 sides of B=(7 , 21/4 , 63/10)
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If b = 7 then ratio of corresponding sides= 7/45
hence a= 60xx7/45 = 28/3" and " c = 54xx7/45 = 42/5
The 3 sides of B =(28/3 , 7 , 42/5)
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If c = 7 then ratio of corresponding sides =7/54
hence a=60xx7/54 = 70/9" and " b = 45xx7/54 = 35/6
The 3 sides of B=(70/9 , 35/6 , 7)
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