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Re: Given a triangle with sides 5 and 13. [#permalink]
09 Aug 2009, 05:03
This post received KUDOS
My answer is C
St 1. We are told that one of the angles is 90 but we don't know which. We know for sure that the side that equals 5 cannot be hypothenuse. Thus, the side 13 can be either the second leg of the right triangle or the hypothenuse. INSF
St2 Gives us an area (30) but we can not derive anything from that
If you combine 2 Stms we are able to identify whether 13 is a leg or hypothenus.
Area=1/2 * H * Base
we know that 5 is a base (or can be a hight) let's try to plug in numbers:
1/2 * 5 * 13 = 32,5 , since we are told that the area=30. Side 13 can not be a leg, thus - hypothenuse. we can say with confidence that the third side = 12 (1/2*5*12=30)