Calculating the length of the side of an acute / obtuse triangle

Practice Questions

GMAT Quantitative Reasoning › Calculating the length of the side of an acute / obtuse triangle

Questions
10
1

is a scalene triangle with perimeter 30. . Which of the following cannot be equal to ?

2

is a scalene triangle with perimeter 47; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

3

The lengths of the sides of a scalene triangle are all prime numbers, and so is the perimeter of the triangle. What is the least possible perimeter of the triangle?

4

is an isosceles triangle with perimeter 43; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

5

is a scalene triangle with perimeter 33; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

6

In , and . Which of the following values of makes a scalene triangle?

7

Which of the following is true of a triangle with sides that measure 15, 17, and 21?

8

Let the three interior angles of a triangle measure , and . Which of the following statements is true about the triangle?

9

Two sides of a triangle measure 5 inches and 11 inches. Which of the following statements correctly expresses the range of possible lengths of the third side ?

10

The sides of a triangle are 4, 8, and an integer . How many possible values does have?

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