SOLUTION: One hundred feet of fencing is used to construct two congruent triangular enclosures with no sides in common. If the ratio of the lengths of the sides for each triangle is 2 : 4 :
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Question 332609: One hundred feet of fencing is used to construct two congruent triangular enclosures with no sides in common. If the ratio of the lengths of the sides for each triangle is 2 : 4 : 4, what is the length of the shortest side?
(A) 40 ft (B) 20 ft (C) 15 ft (D) 10 ft (E) 5 ft Answer by solver91311(24713) (Show Source):
Let represent the constant of proportionality. Then the lengths of the sides of one of the triangles is , , and . So the perimeter of one of the triangles is , and the perimeter of two congruent triangles has to be twice that, and the grand total is 100 feet.
Solve for and the measure of the short side will be
John
My calculator said it, I believe it, that settles it
