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01 Sep 2017, 00:38
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A triangle has a base of length 13 and the other two sides are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a side?
(A) 1
(B) 2
(C) 5
(D) 7
(E) 13
(A) 1
(B) 2
(C) 5
(D) 7
(E) 13
01 Sep 2017, 01:11
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D. Sum of any two sides is always greater than third side of a triangle. If we take 7, then 13+7>7 and 7+7>13.
Sent from my XT1663 using GMAT Club Forum mobile app
Sent from my XT1663 using GMAT Club Forum mobile app
01 Sep 2017, 11:44
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Bunuel
A triangle has a base of length 13 and the other two sides are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a side?
(A) 1
(B) 2
(C) 5
(D) 7
(E) 13
If the sum of any two sides must be greater than the length of the third side, and equal other sides = x, then (A) 1
(B) 2
(C) 5
(D) 7
(E) 13
2x > 13, and
x > 6.5
Answer E, 13, would work (an equilateral triangle is a special isosceles triangle), but we are asked for the shortest possible length of a side.
ANSWER D, 7, satisfies both conditions.
