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题库 / GMATAdvanced-DS-50
If the lengths of the legs of a right triangle are integers, what is the area of the triangular region?
(1)The length of one leg is 3/4 the length of the other.
(2)The length of the hypotenuse is 5.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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let the length of one leg = 4 than other = 3
area = 6
lenght of one leg = 8 other = 6
area = 24
INSUFFICIENT
STATEMENT (2) The length of the hypotenuse is 5.
--sides of the triangle are integers
hypotenuse = 5
the only possible integer values of legs are 3 and 4 (3,4, and 5 Pythagorean triplet)
--area of triangle = 6
SUFFICIENT
求解该题有两个限制条件：1.直角三角形 2.边长都是整数；所以条件2可以求出唯一的直角三角形