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1339 - Data Sufficiency

Data Sufficiency MCQ No. : 49623

What is the perimeter of isosceles triangle MNP ?

(1) MN= 16

(2) NP = 20

Correct Answer: E

Explanation:

Geometry Triangles

The perimeter of a triangle is the sum of all three sides. In the case of an isosceles triangle, two of the sides are equal.To determine the perimeter of this triangle, it is necessary to know both the length of an equal side and the length of the base of the triangle.

  • (1) Only gives the length of one side; NOT sufficient.
  • (2) Only gives the length of one side; NOT sufficient.

Since it is unclear whether MN or NP is one of the equal sides, it is not possible to determine the length of the third side or the perimeter of the triangle. The perimeter could be either ((2)(16)) +20 =52 or ((2)(20)) +16=56.

The correct answer is E; both statements together are still not sufficient.

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