SOLUTION: the sides of a triangle are 5,6,and 10. Find the length of the shortest side of a similar triangle whose perimeter is 63.

Question 707256: the sides of a triangle are 5,6,and 10. Find the length of the shortest side of a similar triangle whose perimeter is 63.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The perimeter of the original triangle is 5+6+10 = 21

If you multiply this perimeter by 3 you get 3*21 = 63. If you don't know that 3*21 = 63, then you can see that 63/21 = 3.

Apply this same scaling to each side to get 5*3 = 15, 6*3 = 18, 10*3 = 30

So the similar triangle with side lengths 15, 18, 30 is a triangle that has a perimeter of 63.

The shortest side is therefore 15
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