How to find the length of the side of an acute / obtuse triangle

Practice Questions

PSAT Math › How to find the length of the side of an acute / obtuse triangle

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1

All of the following could be the possible side lengths of a triangle EXCEPT:

2

Two sides of a triangle are 20 and 32. Which of the following CANNOT be the third side of this triangle.

3

Which of the following describes a triangle with sides of length 14 inches, 18 inches, and 2 feet?

4

Two sides of a triangle have lengths 4 and 7. Which of the following represents the set of all possible lengths of the third side, x?

5

In \Delta ABC the length of AB is 15 and the length of side AC is 5. What is the least possible integer length of side BC?

6

The lengths of two sides of a triangle are 9 and 7. Which of the following could be the length of the third side?

7

If 2 sides of the triangle are have lengths equal to 8 and 14, what is one possible length of the third side?

8

A triangle has sides of length 8, 13, and L. Which of the following cannot equal L?

9

The lengths of a triangle are 8, 12, and x. Which of the following inequalities shows all of the possible values of x?

10

A triangle has sides of length 5, 7, and x. Which of the following can NOT be a value of x?

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