Triangle A has sides of lengths #75 #, #45 #, and #66 #. 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
Yonas Yohannes
Feb 15, 2016

#x = 7xx66/45 = 10.3 ; y = 7xx75/45 = 11.7#
There are 2 more possibilities, I will leave it to you to calculate them will be good practice...
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Explanation:

Given a triangle A, with sides 75, 45 and 66
Find all possibility of a triangle B with one side = 7
Relate the side 7 to 45 then what you from similar triangles is:
#7 : 45 = x : 66 = y : 75#
#x = 7xx66/45 = 10.3 ; y = 7xx75/45 = 11.7#
Note this one possibility, there 2 more possibility, why?

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